SOLUTION AKTU 2021 Question PaperEngg MathematicsI











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=Z41Bza4phHE

Detailed Solution Of AKTU question Paper 2020-21 • correction • sec A 1( f) Ans is negative","styleRuns":[{"startIndex":0,"length":91,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":91,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLkBELsvGAIiEwiB-6O76fWLAxV2b3oFHaqUCBk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1o0MUJ6YTRwaEhFGAYyJSIRIgtaNDFCemE0cGhIRTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLkBELsvGAIiEwiB-6O76fWLAxV2b3oFHaqUCBk=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLgBELovIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"Rb6XEsJ0p7s","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Rb6XEsJ0p7s/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBDLTFy69b6iNZ6V0g2ZxngoR7XUw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Rb6XEsJ0p7s/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCIKx6H4tpJh-4bNvjJb74qM_qy-w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Important Topics | KAS-103T | Engg. Mathematics -I by Monika Mittal(MM) 8,637 views 2 years ago 19 minutes"}},"simpleText":"Important Topics | KAS-103T | Engg. Mathematics -I"},"longBylineText":{"runs":[{"text":"Monika Mittal(MM)","navigationEndpoint":{"clickTrackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@monikamittalmm","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCeBoCtGoM7D0k6xfoEWEwkw","canonicalBaseUrl":"/@monikamittalmm"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"8,637 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"19 minutes, 59 seconds"}},"simpleText":"19:59"},"navigationEndpoint":{"clickTrackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBkyB3JlbGF0ZWRI8Yim8dq50MZnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Rb6XEsJ0p7s","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Rb6XEsJ0p7s","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=45be9712c274a7bb ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1777500 mt=1741276370 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1OA rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Monika Mittal(MM)","navigationEndpoint":{"clickTrackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@monikamittalmm","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCeBoCtGoM7D0k6xfoEWEwkw","canonicalBaseUrl":"/@monikamittalmm"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mjZNpVHdi2FosqnIypQNsmExHKpnoTnN6t3CyRFjMnOA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBlAu8_Sk6zipd9F","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"8.6K views"}},"simpleText":"8.6K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLYBEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Rb6XEsJ0p7s","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Rb6XEsJ0p7s"],"params":"CAQ%3D"}},"videoIds":["Rb6XEsJ0p7s"]}},{"clickTrackingParams":"CLYBEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLcBELlqIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},"popupType":"TOAST"}}]}},"trackingParams":"CLYBEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLUBENGqBRgGIhMIgfuju-n1iwMVdm96BR2qlAgZ","offlineVideoEndpoint":{"videoId":"Rb6XEsJ0p7s","onAddCommand":{"clickTrackingParams":"CLUBENGqBRgGIhMIgfuju-n1iwMVdm96BR2qlAgZ","getDownloadActionCommand":{"videoId":"Rb6XEsJ0p7s","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLUBENGqBRgGIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtSYjZYRXNKMHA3cw%3D%3D","commands":[{"clickTrackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLQBEI5iIhMIgfuju-n1iwMVdm96BR2qlAgZ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBk=","hasSeparator":true}}],"trackingParams":"CLEBEKQwGAAiEwiB-6O76fWLAxV2b3oFHaqUCBk=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"19 minutes, 59 seconds"}},"simpleText":"19:59"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLMBEPnnAxgBIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Rb6XEsJ0p7s","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLMBEPnnAxgBIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Rb6XEsJ0p7s"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLMBEPnnAxgBIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLIBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLIBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Rb6XEsJ0p7s","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLIBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Rb6XEsJ0p7s"],"params":"CAQ%3D"}},"videoIds":["Rb6XEsJ0p7s"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLIBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Important Topics | KAS-103T | Engg. Mathematics -I - 19 minutes - Go to channel - Monika Mittal(MM) - 8.6K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"AhUIeyxChiI","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/AhUIeyxChiI/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAK0TZ-kbRIa6QRHPIb3I7dTHajzA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/AhUIeyxChiI/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDlkl5cY2VXNHKenHp8Aaqh7A77jQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"SOLUTION | AKTU 2018-19 Question Paper | Engg. Mathematics -I | KAS-103 by Monika Mittal(MM) 32,180 views 2 years ago 3 hours, 5 minutes"}},"simpleText":"SOLUTION | AKTU 2018-19 Question Paper | Engg. Mathematics -I | KAS-103"},"longBylineText":{"runs":[{"text":"Monika Mittal(MM)","navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@monikamittalmm","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCeBoCtGoM7D0k6xfoEWEwkw","canonicalBaseUrl":"/@monikamittalmm"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"32,180 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"3 hours, 5 minutes, 33 seconds"}},"simpleText":"3:05:33"},"navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBkyB3JlbGF0ZWRI8Yim8dq50MZnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=AhUIeyxChiI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"AhUIeyxChiI","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=0215087b2c428622 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1777500 mt=1741276370 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1OA rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Monika Mittal(MM)","navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@monikamittalmm","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCeBoCtGoM7D0k6xfoEWEwkw","canonicalBaseUrl":"/@monikamittalmm"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mjZNpVHdi2FosqnIypQNsmExHKpnoTnN6t3CyRFjMnOA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBlAooyK4rKPwooC","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"32K views"}},"simpleText":"32K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK8BEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AhUIeyxChiI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AhUIeyxChiI"],"params":"CAQ%3D"}},"videoIds":["AhUIeyxChiI"]}},{"clickTrackingParams":"CK8BEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLABELlqIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},"popupType":"TOAST"}}]}},"trackingParams":"CK8BEP6YBBgFIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CK4BENGqBRgGIhMIgfuju-n1iwMVdm96BR2qlAgZ","offlineVideoEndpoint":{"videoId":"AhUIeyxChiI","onAddCommand":{"clickTrackingParams":"CK4BENGqBRgGIhMIgfuju-n1iwMVdm96BR2qlAgZ","getDownloadActionCommand":{"videoId":"AhUIeyxChiI","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CK4BENGqBRgGIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtBaFVJZXl4Q2hpSQ%3D%3D","commands":[{"clickTrackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK0BEI5iIhMIgfuju-n1iwMVdm96BR2qlAgZ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBk=","hasSeparator":true}}],"trackingParams":"CKoBEKQwGAEiEwiB-6O76fWLAxV2b3oFHaqUCBk=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"3 hours, 5 minutes, 33 seconds"}},"simpleText":"3:05:33"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKwBEPnnAxgBIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"AhUIeyxChiI","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKwBEPnnAxgBIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"AhUIeyxChiI"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKwBEPnnAxgBIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKsBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKsBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AhUIeyxChiI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKsBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AhUIeyxChiI"],"params":"CAQ%3D"}},"videoIds":["AhUIeyxChiI"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKsBEMfsBBgCIhMIgfuju-n1iwMVdm96BR2qlAgZ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"SOLUTION | AKTU 2018-19 Question Paper | Engg. Mathematics -I | KAS-103 - 3 hours, 5 minutes - Go to channel - Monika Mittal(MM) - 32K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/AhUIeyxChiI/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAJGJIg3_pkxRrZmF_veO42rNF3Jg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/AhUIeyxChiI/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLADOwNfCW94q_u9jLB5DPccOqgmaw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"11 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2629385,"darkTheme":2629385}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4995601,"darkTheme":4995601}}},"stackColor":{"lightTheme":12561797,"darkTheme":9669238}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"AKTU MATHS-I Previous Year Papers Solutions"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Monika Mittal(MM)

#############################









Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org