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Let A be the set of 30 students of class XII in a school. Let 𝑓:𝐴→𝑁,𝑁 is a set of natural number\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Let A be the set of 30 students of class XII in a school. Let 𝑓:𝐴→𝑁,𝑁 is a set of natural number by Shivang Maths Academy 216 views 4 days ago 10 minutes, 6 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224 days ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22216 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x2210:06\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x2210 minutes, 6 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CGIQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dx4_R2V0bxqk\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22x4_R2V0bxqk\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CGIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CGIQpDAiEwjizO7m6K2OAxV7wqACHa1PATJAqY3v6JW79MfHAQ\x3d\x3d\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22216 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22216 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CGIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CGIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CGIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x2210:06\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x2210 minutes, 6 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Let A be the set of 30 students of class XII in a school. Let 𝑓:𝐴→𝑁,𝑁 is a set of natural number - 10 minutes, 6 seconds - Go to channel - Shivang Maths Academy - 216 views - 4 days ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CGEQmY0FGAEiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22E5Xp7sLsMRY\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/E5Xp7sLsMRY\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/E5Xp7sLsMRY\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/E5Xp7sLsMRY\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/E5Xp7sLsMRY\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/E5Xp7sLsMRY\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLBDZP4vBJSByNgH0vhnGcpXZNSKfg\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) A class-room teacher is keen to assess the learning of her students the concept of \\\x22relations\\\x22\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) A class-room teacher is keen to assess the learning of her students the concept of \\\x22relations\\\x22 by Shivang Maths Academy 192 views 6 days ago 3 minutes, 40 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x226 days ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22192 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x223:40\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x223 minutes, 40 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CGAQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dE5Xp7sLsMRY\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22E5Xp7sLsMRY\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CGAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CGAQpDAiEwjizO7m6K2OAxV7wqACHa1PATJAluKwl-y9-soT\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22192 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22192 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CGAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CGAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CGAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x223:40\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x223 minutes, 40 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) A class-room teacher is keen to assess the learning of her students the concept of \\\x22relations\\\x22 - 3 minutes, 40 seconds - Go to channel - Shivang Maths Academy - 192 views - 6 days ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CF8QmY0FGAIiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22aOH2xcwLRCo\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/aOH2xcwLRCo\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/aOH2xcwLRCo\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/aOH2xcwLRCo\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/aOH2xcwLRCo\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/aOH2xcwLRCo\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLBwjKERH2iHx5A9z1mmTc5WISMlhw\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base by Shivang Maths Academy 250 views 9 days ago 7 minutes, 59 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x229 days ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22250 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x227:59\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x227 minutes, 59 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CF4QpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3daOH2xcwLRCo\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22aOH2xcwLRCo\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CF4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CF4QpDAiEwjizO7m6K2OAxV7wqACHa1PATJAqoit4NzY_fBo\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22250 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22250 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CF4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CF4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CF4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x227:59\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x227 minutes, 59 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base - 7 minutes, 59 seconds - Go to channel - Shivang Maths Academy - 250 views - 9 days ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CF0QmY0FGAMiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22NqdeMVZC1Yo\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/NqdeMVZC1Yo\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/NqdeMVZC1Yo\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/NqdeMVZC1Yo\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/NqdeMVZC1Yo\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/NqdeMVZC1Yo\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLBSZ5Ii27vpNJZxAwmh4NjAtgtpAg\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Find the value of \x27 a \x27 for which f(x)\x3d√3 sinx−cosx−2ax+6 is decreasing in R maths cbse pyq 2025\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Find the value of \x27 a \x27 for which f(x)\x3d√3 sinx−cosx−2ax+6 is decreasing in R maths cbse pyq 2025 by Shivang Maths Academy 451 views 11 days ago 4 minutes, 12 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x2211 days ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22451 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224:12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x224 minutes, 12 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFwQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dNqdeMVZC1Yo\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22NqdeMVZC1Yo\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFwQpDAiEwjizO7m6K2OAxV7wqACHa1PATJAiquLspXG19M2\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22451 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22451 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224:12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x224 minutes, 12 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Find the value of \x27 a \x27 for which f(x)\x3d√3 sinx−cosx−2ax+6 is decreasing in R maths cbse pyq 2025 - 4 minutes, 12 seconds - Go to channel - Shivang Maths Academy - 451 views - 11 days ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CFsQmY0FGAQiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22-mqsIycYq5o\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/-mqsIycYq5o\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/-mqsIycYq5o\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/-mqsIycYq5o\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/-mqsIycYq5o\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/-mqsIycYq5o\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLC9MEuFLvB4eNT_oZyzscipg4WV7w\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) A school is organizing a debate competition with participants as speakers 𝑆\x3d\x7b𝑆_1,𝑆_2,𝑆_3,𝑆_4 \x7d a\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) A school is organizing a debate competition with participants as speakers 𝑆\x3d\x7b𝑆_1,𝑆_2,𝑆_3,𝑆_4 \x7d a by Shivang Maths Academy 345 views 13 days ago 5 minutes, 23 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x2213 days ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22345 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:23\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 23 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFoQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3d-mqsIycYq5o\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22-mqsIycYq5o\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFoQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFoQpDAiEwjizO7m6K2OAxV7wqACHa1PATJAmtfiuLKEq7X6AQ\x3d\x3d\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22345 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22345 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFoQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFoQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFoQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:23\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 23 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) A school is organizing a debate competition with participants as speakers 𝑆\x3d\x7b𝑆_1,𝑆_2,𝑆_3,𝑆_4 \x7d a - 5 minutes, 23 seconds - Go to channel - Shivang Maths Academy - 345 views - 13 days ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CFkQmY0FGAUiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x222f9iT7PmH9o\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/2f9iT7PmH9o\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/2f9iT7PmH9o\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/2f9iT7PmH9o\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/2f9iT7PmH9o\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/2f9iT7PmH9o\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLCQWCSt7iMTilbay3yilfgezy19Fg\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) Evaluate Integration ∫ 0 to (𝛑) 𝑥sin𝑥\/(1+cos^2 𝑥) 𝑑 Integration PYQ 2025 MathsClass 12 #maths\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Evaluate Integration ∫ 0 to (𝛑) 𝑥sin𝑥\/(1+cos^2 𝑥) 𝑑 Integration PYQ 2025 MathsClass 12 #maths by Shivang Maths Academy 432 views 2 weeks ago 4 minutes, 46 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x222 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22432 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224:46\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x224 minutes, 46 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFgQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3d2f9iT7PmH9o\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x222f9iT7PmH9o\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFgQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFgQpDAiEwjizO7m6K2OAxV7wqACHa1PATJA2r-Yn_vJ2P_ZAQ\x3d\x3d\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22432 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22432 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFgQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFgQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFgQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224:46\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x224 minutes, 46 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Evaluate Integration ∫ 0 to (𝛑) 𝑥sin𝑥\/(1+cos^2 𝑥) 𝑑 Integration PYQ 2025 MathsClass 12 #maths - 4 minutes, 46 seconds - Go to channel - Shivang Maths Academy - 432 views - 2 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CFcQmY0FGAYiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22zC8KG2IppBs\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/zC8KG2IppBs\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/zC8KG2IppBs\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/zC8KG2IppBs\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/zC8KG2IppBs\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/zC8KG2IppBs\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLCMCrJdElP2_k3OOD5FKS04lnVqaw\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) Evaluate Integration ∫ to (𝛑\/𝟐)〖𝒙\/(𝒄𝒐𝒔 𝒙 +𝒔𝒊𝒏 𝒙 ) dx Integration PYQ 2025 MathsClass 12 #maths\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Evaluate Integration ∫ to (𝛑\/𝟐)〖𝒙\/(𝒄𝒐𝒔 𝒙 +𝒔𝒊𝒏 𝒙 ) dx Integration PYQ 2025 MathsClass 12 #maths by Shivang Maths Academy 514 views 2 weeks ago 7 minutes, 52 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x222 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22514 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x227:52\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x227 minutes, 52 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFYQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dzC8KG2IppBs\\u0026pp\x3d0gcJCcEJAYcqIYzv\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22zC8KG2IppBs\x22,\x22playerParams\x22:\x220gcJCcEJAYcqIYzv\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFYQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFYQpDAiEwjizO7m6K2OAxV7wqACHa1PATJAm8imkbbDwpfMAQ\x3d\x3d\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22514 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22514 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFYQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFYQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFYQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x227:52\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x227 minutes, 52 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Evaluate Integration ∫ to (𝛑\/𝟐)〖𝒙\/(𝒄𝒐𝒔 𝒙 +𝒔𝒊𝒏 𝒙 ) dx Integration PYQ 2025 MathsClass 12 #maths - 7 minutes, 52 seconds - Go to channel - Shivang Maths Academy - 514 views - 2 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CFUQmY0FGAciEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22RayGEIG4QWA\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RayGEIG4QWA\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RayGEIG4QWA\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RayGEIG4QWA\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RayGEIG4QWA\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RayGEIG4QWA\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLAB8P7y8SyEQgEJgwqNiNLVE-lisw\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22𝑥\x3d𝑎(cos𝜃+logtan𝜃\/2) and 𝑦\x3dsin𝜃, find (𝑑^2 𝑦)\/(𝑑𝑥^2 ) at 𝜃\x3d𝜋\/4.CBSEPYQ2025 #cbse2026#cbseclass12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22𝑥\x3d𝑎(cos𝜃+logtan𝜃\/2) and 𝑦\x3dsin𝜃, find (𝑑^2 𝑦)\/(𝑑𝑥^2 ) at 𝜃\x3d𝜋\/4.CBSEPYQ2025 #cbse2026#cbseclass12 by Shivang Maths Academy 492 views 2 weeks ago 5 minutes, 54 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x222 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22492 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:54\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 54 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFQQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dRayGEIG4QWA\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22RayGEIG4QWA\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFQQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFQQpDAiEwjizO7m6K2OAxV7wqACHa1PATJA4ILhjYjCodZF\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22492 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22492 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFQQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFQQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFQQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:54\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 54 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22𝑥\x3d𝑎(cos𝜃+logtan𝜃\/2) and 𝑦\x3dsin𝜃, find (𝑑^2 𝑦)\/(𝑑𝑥^2 ) at 𝜃\x3d𝜋\/4.CBSEPYQ2025 #cbse2026#cbseclass12 - 5 minutes, 54 seconds - Go to channel - Shivang Maths Academy - 492 views - 2 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CFMQmY0FGAgiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22RygzftU4TRw\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RygzftU4TRw\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RygzftU4TRw\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RygzftU4TRw\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RygzftU4TRw\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/RygzftU4TRw\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLCgeL92WLyZVLsyLX0U0z9hg-pDww\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) Three students, Neha, Rani and Sam go to a market to purchase stationery items. Neha buys 4 pens\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Three students, Neha, Rani and Sam go to a market to purchase stationery items. Neha buys 4 pens by Shivang Maths Academy 422 views 3 weeks ago 7 minutes, 57 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x223 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22422 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x227:57\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x227 minutes, 57 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFIQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dRygzftU4TRw\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22RygzftU4TRw\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFIQpDAiEwjizO7m6K2OAxV7wqACHa1PATJAnJrhqe3vjJRH\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22422 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22422 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFIQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x227:57\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x227 minutes, 57 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Three students, Neha, Rani and Sam go to a market to purchase stationery items. Neha buys 4 pens - 7 minutes, 57 seconds - Go to channel - Shivang Maths Academy - 422 views - 3 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CFEQmY0FGAkiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22Jnen0GMDGe4\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jnen0GMDGe4\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jnen0GMDGe4\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jnen0GMDGe4\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jnen0GMDGe4\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jnen0GMDGe4\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLALdtoTsW3r6R-z9Tyfohq9yrcNtw\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) Given A\x3d\x5b(−4 4 −7 1 3 5 −3 −1)\x5d and B\x3d\x5b (1 −1 1 1 −2 −2 2 1 3)\x5d, find AB 𝑥−𝑦+𝑧\x3d4. 𝑥−2𝑦−2𝑧\x3d 9\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Given A\x3d\x5b(−4 4 −7 1 3 5 −3 −1)\x5d and B\x3d\x5b (1 −1 1 1 −2 −2 2 1 3)\x5d, find AB 𝑥−𝑦+𝑧\x3d4. 𝑥−2𝑦−2𝑧\x3d 9 by Shivang Maths Academy 657 views 3 weeks ago 5 minutes, 26 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x223 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22657 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:26\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 26 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFAQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dJnen0GMDGe4\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22Jnen0GMDGe4\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CFAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFAQpDAiEwjizO7m6K2OAxV7wqACHa1PATJA7rOMmIb66bsm\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22657 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22657 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CFAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CFAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CFAQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:26\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 26 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Given A\x3d\x5b(−4 4 −7 1 3 5 −3 −1)\x5d and B\x3d\x5b (1 −1 1 1 −2 −2 2 1 3)\x5d, find AB 𝑥−𝑦+𝑧\x3d4. 𝑥−2𝑦−2𝑧\x3d 9 - 5 minutes, 26 seconds - Go to channel - Shivang Maths Academy - 657 views - 3 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CE8QmY0FGAoiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22Jh7FFe8dbY4\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jh7FFe8dbY4\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jh7FFe8dbY4\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jh7FFe8dbY4\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jh7FFe8dbY4\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/Jh7FFe8dbY4\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLAUtt3fyzRSwrnyVu_2QDdIRabbEg\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) If 𝑦\x3dlo𝑔(√𝑥+1\/√𝑥)^2, then show that 𝑥(𝑥+1)^2 𝑦_2+(𝑥+1)^2 𝑦_1\x3d2 CBSEPYQ2025 #cbse2026#cbseclass12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) If 𝑦\x3dlo𝑔(√𝑥+1\/√𝑥)^2, then show that 𝑥(𝑥+1)^2 𝑦_2+(𝑥+1)^2 𝑦_1\x3d2 CBSEPYQ2025 #cbse2026#cbseclass12 by Shivang Maths Academy 474 views 4 weeks ago 5 minutes, 28 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22474 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:28\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 28 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CE4QpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dJh7FFe8dbY4\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22Jh7FFe8dbY4\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CE4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CE4QpDAiEwjizO7m6K2OAxV7wqACHa1PATJAjtv1-N6isY8m\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22474 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22474 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CE4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CE4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CE4QpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x225:28\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x225 minutes, 28 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) If 𝑦\x3dlo𝑔(√𝑥+1\/√𝑥)^2, then show that 𝑥(𝑥+1)^2 𝑦_2+(𝑥+1)^2 𝑦_1\x3d2 CBSEPYQ2025 #cbse2026#cbseclass12 - 5 minutes, 28 seconds - Go to channel - Shivang Maths Academy - 474 views - 4 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CE0QmY0FGAsiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22lZ-hxtZfP94\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/lZ-hxtZfP94\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/lZ-hxtZfP94\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/lZ-hxtZfP94\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/lZ-hxtZfP94\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/lZ-hxtZfP94\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLAZXSymIXzG0gDX_HIy8AlmwTbtww\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Q) Find 𝑑𝑦\/𝑑𝑥 𝑖𝑓 𝑦^𝑥+ 𝑥^𝑦+𝑥^𝑥\x3d 𝑎^𝑏 , CBSE PYQ 2025 #cbse2026 #maths #cbseboard #cbseclass12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Find 𝑑𝑦\/𝑑𝑥 𝑖𝑓 𝑦^𝑥+ 𝑥^𝑦+𝑥^𝑥\x3d 𝑎^𝑏 , CBSE PYQ 2025 #cbse2026 #maths #cbseboard #cbseclass12 by Shivang Maths Academy 658 views 4 weeks ago 6 minutes, 50 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x224 weeks ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22658 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x226:50\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x226 minutes, 50 seconds\x22\x7d\x7d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CEwQpDAiEwjizO7m6K2OAxV7wqACHa1PATJaGFVDOGs1T3lNSEhNMldQYldGRERMMDZqQZoBAxDyOA\x3d\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22\/watch?v\x3dlZ-hxtZfP94\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_WATCH\x22,\x22rootVe\x22:3832\x7d\x7d,\x22watchEndpoint\x22:\x7b\x22videoId\x22:\x22lZ-hxtZfP94\x22\x7d\x7d,\x22ownerBadges\x22:\x5b\x7b\x22metadataBadgeRenderer\x22:\x7b\x22icon\x22:\x7b\x22iconType\x22:\x22CHECK_CIRCLE_THICK\x22\x7d,\x22style\x22:\x22BADGE_STYLE_TYPE_VERIFIED\x22,\x22tooltip\x22:\x22Verified\x22,\x22trackingParams\x22:\x22CEwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CEwQpDAiEwjizO7m6K2OAxV7wqACHa1PATJA3v_8su246M-VAQ\x3d\x3d\x22,\x22shortViewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22658 views\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22658 views\x22\x7d\x7d\x7d,\x22menu\x22:\x7b\x22menuRenderer\x22:\x7b\x22items\x22:\x5b\x7b\x22menuNavigationItemRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22Save to Watch later\x22\x7d\x5d\x7d,\x22navigationEndpoint\x22:\x7b\x22clickTrackingParams\x22:\x22CEwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22commandMetadata\x22:\x7b\x22webCommandMetadata\x22:\x7b\x22url\x22:\x22https:\/\/accounts.google.com\/ServiceLogin?service\x3dyoutube\\u0026uilel\x3d3\\u0026passive\x3dtrue\\u0026continue\x3dhttps%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Dm%26hl%3Den%26next%3Dhttps%253A%252F%252Fm.youtube.com%252Fchannel%252FUC8k5OyMHHM2WPbWFDDL06jA%252Fvideos%253Fview%253D0%2526sort%253Ddd%2526shelf_id%253D0\\u0026hl\x3den\x22,\x22webPageType\x22:\x22WEB_PAGE_TYPE_UNKNOWN\x22,\x22rootVe\x22:83769\x7d\x7d,\x22signInEndpoint\x22:\x7b\x22hack\x22:true\x7d\x7d,\x22trackingParams\x22:\x22CEwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d\x5d,\x22trackingParams\x22:\x22CEwQpDAiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Action menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x226:50\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x226 minutes, 50 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Find 𝑑𝑦\/𝑑𝑥 𝑖𝑓 𝑦^𝑥+ 𝑥^𝑦+𝑥^𝑥\x3d 𝑎^𝑏 , CBSE PYQ 2025 #cbse2026 #maths #cbseboard #cbseclass12 - 6 minutes, 50 seconds - Go to channel - Shivang Maths Academy - 658 views - 4 weeks ago - play video\x22\x7d\x7d\x7d\x7d,\x22trackingParams\x22:\x22CEsQmY0FGAwiEwjizO7m6K2OAxV7wqACHa1PATI\x3d\x22\x7d\x7d,\x7b\x22richItemRenderer\x22:\x7b\x22content\x22:\x7b\x22compactVideoRenderer\x22:\x7b\x22videoId\x22:\x22eYowsdHtUW8\x22,\x22thumbnail\x22:\x7b\x22thumbnails\x22:\x5b\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/eYowsdHtUW8\/default.jpg\x22,\x22width\x22:120,\x22height\x22:90\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/eYowsdHtUW8\/mqdefault.jpg\x22,\x22width\x22:320,\x22height\x22:180\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/eYowsdHtUW8\/hqdefault.jpg\x22,\x22width\x22:480,\x22height\x22:360\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/eYowsdHtUW8\/sddefault.jpg\x22,\x22width\x22:640,\x22height\x22:480\x7d,\x7b\x22url\x22:\x22https:\/\/i.ytimg.com\/vi\/eYowsdHtUW8\/hq720.jpg?sqp\x3d-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD\\u0026rs\x3dAOn4CLBx5qgFHVEkxPTI23zxB1Cwik3U_g\x22,\x22width\x22:686,\x22height\x22:386\x7d\x5d\x7d,\x22title\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22For a positive constant \x27a\x27, differentiate at with a^(t+1\/t) respect to (t+1\/t)^a, where t is a non\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22For a positive constant \x27a\x27, differentiate at with a^(t+1\/t) respect to (t+1\/t)^a, where t is a non by Shivang Maths Academy 347 views 1 month ago 2 minutes, 52 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x221 month ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22347 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x222:52\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x222 minutes, 52 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menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x222:52\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x222 minutes, 52 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22For a positive constant \x27a\x27, differentiate at with a^(t+1\/t) respect to (t+1\/t)^a, where t is a non - 2 minutes, 52 seconds - Go to channel - Shivang Maths Academy - 347 views - 1 month ago - play 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If √(𝟏−𝐱^𝟐 )+√(𝟏−𝐲^𝟐 )\x3d𝐚(𝐱−𝐲) prove that 𝐝𝐲\/𝐝𝐱\x3d√((𝟏−𝐲^𝟐)\/(𝟏−𝐱^𝟐 )) Class 12 Maths #cbse2026\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) If √(𝟏−𝐱^𝟐 )+√(𝟏−𝐲^𝟐 )\x3d𝐚(𝐱−𝐲) prove that 𝐝𝐲\/𝐝𝐱\x3d√((𝟏−𝐲^𝟐)\/(𝟏−𝐱^𝟐 )) Class 12 Maths #cbse2026 by Shivang Maths Academy 1,130 views 1 month ago 6 minutes, 48 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x221 month ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x221,130 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x226:48\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x226 minutes, 48 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menu\x22\x7d\x7d\x7d\x7d,\x22thumbnailOverlays\x22:\x5b\x7b\x22thumbnailOverlayTimeStatusRenderer\x22:\x7b\x22text\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x226:48\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x226 minutes, 48 seconds\x22\x7d\x7d\x7d,\x22style\x22:\x22DEFAULT\x22\x7d\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) If √(𝟏−𝐱^𝟐 )+√(𝟏−𝐲^𝟐 )\x3d𝐚(𝐱−𝐲) prove that 𝐝𝐲\/𝐝𝐱\x3d√((𝟏−𝐲^𝟐)\/(𝟏−𝐱^𝟐 )) Class 12 Maths #cbse2026 - 6 minutes, 48 seconds - Go to channel - Shivang Maths Academy - 1.1 thousand views - 1 month ago - play 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2026 Differentiation PYQ 2025 Maths Class 12 Maths #cbse2026 #maths #cbseboard #cbseclass12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22CBSE 2026 Differentiation PYQ 2025 Maths Class 12 Maths #cbse2026 #maths #cbseboard #cbseclass12 by Shivang Maths Academy 978 views 1 month ago 3 minutes, 36 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x221 month ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x22978 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x223:36\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x223 minutes, 36 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Find the domain of sec^-1 ( 2x^2 + 1 )CBSE 2026 Inverse Trigonometric #maths#cbseclass12 class 12\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x22Q) Find the domain of sec^-1 ( 2x^2 + 1 )CBSE 2026 Inverse Trigonometric #maths#cbseclass12 class 12 by Shivang Maths Academy 1,299 views 1 month ago 3 minutes, 22 seconds\x22\x7d\x7d\x7d,\x22publishedTimeText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x221 month ago\x22\x7d\x5d\x7d,\x22viewCountText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x221,299 views\x22\x7d\x5d\x7d,\x22lengthText\x22:\x7b\x22runs\x22:\x5b\x7b\x22text\x22:\x223:22\x22\x7d\x5d,\x22accessibility\x22:\x7b\x22accessibilityData\x22:\x7b\x22label\x22:\x223 minutes, 22 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