https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/alg2-graphs-of-circles-intro/v/introduction-to-conic-sections 2021-05-26T15:51:55Z Intro to conic sections Sal introduces the four conic sections and shows how they are derived by intersecting planes with cones in certain ways. Sal Khan video https://cdn.kastatic.org/googleusercontent/RPWgYvDzMuiAzmQiOD9YRcWvZHF0dwBjlAHDhulF1J_WJKAg_F2Y44b_iZC_03pWPmyEhYAqttYl3kM1qUcvhoLh Intro to conic sections Sal introduces the four conic sections and shows how they are derived by intersecting planes with cones in certain ways. https://cdn.kastatic.org/ka-youtube-converted/0A7RR0oy2ho.mp4/0A7RR0oy2ho.mp4 658 Conic Sections https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/hs-geo-circle-standard-equation/v/radius-and-center-for-a-circle-equation-in-standard-form 2021-06-08T19:10:24Z Features of a circle from its standard equation Sal finds the center and the radius of the circle whose equation is (x+3)^2+(y-4)^2=49. Sal Khan video https://cdn.kastatic.org/googleusercontent/5rX2mO1KtbbA3mknyYqqqJ7CI16rAzvA_IaoyoOg6qH2dyOECl4-P1B7iesXvsOGtMdBmjLjwGTBpqHtjDSkURvL Features of a circle from its standard equation Sal finds the center and the radius of the circle whose equation is (x+3)^2+(y-4)^2=49. https://cdn.kastatic.org/ka-youtube-converted/JvDpYlyKkNU.mp4/JvDpYlyKkNU.mp4 231 Conic Sections https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/hs-geo-circle-standard-equation/v/writing-standard-equation-of-circle 2022-10-07T00:00:24.225559754Z Writing standard equation of a circle Given a circle on the coordinate plane, Sal finds its standard equation, which is an equation in the form (x-a)²+(y-b)²=r². video https://cdn.kastatic.org/ka_thumbnails_cache/e02a9a45-7965-4d42-be70-a6f4d2bd2c79_1280_720_base.png Writing standard equation of a circle Given a circle on the coordinate plane, Sal finds its standard equation, which is an equation in the form (x-a)²+(y-b)²=r². https://cdn.kastatic.org/ka-youtube-converted/iX5UgArMyiI.mp4/iX5UgArMyiI.mp4 340 Conic Sections https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/hs-geo-circle-expanded-equation/v/completing-the-square-to-write-equation-in-standard-form-of-a-circle 2021-04-21T12:01:46Z Features of a circle from its expanded equation Sal finds the center and the radius of a circle whose equation is x^2+y^2+4x-4y-17=0, and then he graphs the circle. Sal Khan video https://cdn.kastatic.org/googleusercontent/Oembzj1tMOVAtpDcNkuVVwyscF4ptsiqRKaW9ns45uBsAFn-r5-Trm7evKb0P-TRqRrjiFNGW55uKvQm5Rlzh049 Features of a circle from its expanded equation Sal finds the center and the radius of a circle whose equation is x^2+y^2+4x-4y-17=0, and then he graphs the circle. https://cdn.kastatic.org/ka-youtube-converted/XyDMsotfJhE.mp4/XyDMsotfJhE.mp4 260 Conic Sections https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:intro-parabolas/v/parabolas-intro 2021-05-14T17:03:12Z Parabolas intro Graphs of quadratic functions all have the same shape which we call "parabola." All parabolas have shared characteristics. For example, they are all symmetric about a line that passes through their vertex. This video covers this and other basic facts about parabolas. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Parabolas intro Graphs of quadratic functions all have the same shape which we call "parabola." All parabolas have shared characteristics. For example, they are all symmetric about a line that passes through their vertex. This video covers this and other basic facts about parabolas. https://cdn.kastatic.org/ka-youtube-converted/BGz3pkoGPag.mp4/BGz3pkoGPag.mp4 494 Conic Sections https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/xff63fac4:hs-geo-parabola/v/focus-and-directrix-introduction 2021-04-21T12:01:44Z Intro to focus & directrix A parabola is the set of all points equidistant from a point (called the "focus") and a line (called the "directrix"). See this video to learn more about this. video https://cdn.kastatic.org/googleusercontent/vHEIbri_Ra7d2MGcjent-C6nyMncsnZ_bZrmVsB1k3VSQZfThO4So8QnSbdlsjT_6xg2cjqoS3ZaQEpF0xy_OYid Intro to focus & directrix A parabola is the set of all points equidistant from a point (called the "focus") and a line (called the "directrix"). See this video to learn more about this. https://cdn.kastatic.org/ka-youtube-converted/pe8Dm_FUpdU.mp4/pe8Dm_FUpdU.mp4 247 Conic Sections https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/xff63fac4:hs-geo-parabola/v/equation-for-parabola-from-focus-and-directrix 2021-04-21T12:01:44Z Equation of a parabola from focus & directrix The equation of a parabola is derived from the focus and directrix, and then the general formula is used to solve an example. video https://cdn.kastatic.org/googleusercontent/E-dbou6Jw2dQISA_z84rO95zii-A6Xg1Z0p6X2F3Mn0ptl2V5adv0SPNIz9a-JLpoCh9lYmj6Mh1IKo_43AhuBrw Equation of a parabola from focus & directrix The equation of a parabola is derived from the focus and directrix, and then the general formula is used to solve an example. https://cdn.kastatic.org/ka-youtube-converted/okXVhDMuGFg.mp4/okXVhDMuGFg.mp4 588 Conic Sections https://www.khanacademy.org/math/math2/xe2ae2386aa2e13d6:conics/xe2ae2386aa2e13d6:focus-directrix/v/finding-focus-and-directrix-from-vertex 2021-04-21T12:01:44Z Focus & directrix of a parabola from equation Given the parabola equation y-23/4=-1/3(x-1)^2, Sal finds the parabola's focus and directrix using the general formula for a parabola whose focus is (a,b) and directrix is y=k. video https://cdn.kastatic.org/googleusercontent/XdjPbkxSjRS_lFGjYHyg_JSdemU9OBan4SHBbcgfJBq3O_UMvmts2CncowooAxIItMFYEThAiKaDTAxLpg0qrb8 Focus & directrix of a parabola from equation Given the parabola equation y-23/4=-1/3(x-1)^2, Sal finds the parabola's focus and directrix using the general formula for a parabola whose focus is (a,b) and directrix is y=k. https://cdn.kastatic.org/ka-youtube-converted/w56Vuf9tHfA.mp4/w56Vuf9tHfA.mp4 689 Conic Sections https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:ellipse-center-radii/v/conic-sections-intro-to-ellipses 2023-07-27T01:47:53.920337803Z Intro to ellipses Learn all about ellipses in this video. The standard form for an ellipse centered at the origin is x²/a² + y²/b² = 1. The semi-major axis is the longest radius and the semi-minor axis is the shortest radius. The video also explains how to shift an ellipse. Sal Khan video https://cdn.kastatic.org/googleusercontent/D5XS31KtD3HUL7SHsmzd_JIMx34-i0GpaT_aO8lkQ9ZJ-xQh8o_aqjYRbOoOi1pxn3PrusQB7Bl6CSkBWjBjmBHT Intro to ellipses Learn all about ellipses in this video. The standard form for an ellipse centered at the origin is x²/a² + y²/b² = 1. The semi-major axis is the longest radius and the semi-minor axis is the shortest radius. The video also explains how to shift an ellipse. https://cdn.kastatic.org/ka-youtube-converted/lvAYFUIEpFI.mp4/lvAYFUIEpFI.mp4 854 Conic Sections https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:ellipse-foci/v/foci-of-an-ellipse 2021-03-19T16:21:24Z Foci of an ellipse from equation Sal explains how the radii and the foci of an ellipse relate to each other, and how we can use this relationship in order to find the foci from the equation of an ellipse. Sal Khan video https://cdn.kastatic.org/googleusercontent/Yz3g-FK-xyNlN0n9dnHPMLLICOGJjZ5vDhj2O6XmMgEDGMPOCwhfkz3GQlfRXITSUoq5mMNqlfllza9EQyRdjwGANA Foci of an ellipse from equation Sal explains how the radii and the foci of an ellipse relate to each other, and how we can use this relationship in order to find the foci from the equation of an ellipse. https://cdn.kastatic.org/ka-youtube-converted/QR2vxfwiHAU.mp4/QR2vxfwiHAU.mp4 829 Conic Sections https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:hyperb-intro/v/conic-sections-intro-to-hyperbolas 2021-03-19T16:21:24Z Intro to hyperbolas Sal introduces the standard equation for hyperbolas, and how it can be used in order to determine the direction of the hyperbola and its vertices. Sal Khan video https://cdn.kastatic.org/googleusercontent/K7U1uh1j_MEI_Mc2X2xyfTTawjdJyVbxFn2XFN_np1nCX-ly_ohMlRgH-rScJ2tOKC-gLmyJHvByWl_Ri6Mt6Tyl Intro to hyperbolas Sal introduces the standard equation for hyperbolas, and how it can be used in order to determine the direction of the hyperbola and its vertices. https://cdn.kastatic.org/ka-youtube-converted/pzSyOTkAsY4.mp4/pzSyOTkAsY4.mp4 814 Conic Sections https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:non-origin-hyperb/v/conic-sections-hyperbolas-3 2021-03-19T16:21:24Z Equation of a hyperbola not centered at the origin Sal analyzes the hyperbola whose equation is (x-1)^2/16-(y+1)^2/4=1, and graphs it. Sal Khan video https://cdn.kastatic.org/googleusercontent/VFpEIZ1XOiIzH_CEkT2hwpLXC2jmCAKFh4IpbsPQACXWlv0mWZezY3T-HRV9cFiYwAsZBwwUraAPZQdPIJ9UUlAt Equation of a hyperbola not centered at the origin Sal analyzes the hyperbola whose equation is (x-1)^2/16-(y+1)^2/4=1, and graphs it. https://cdn.kastatic.org/ka-youtube-converted/lGQw-W1PxBE.mp4/lGQw-W1PxBE.mp4 629 Conic Sections https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:hyperb-foci/v/foci-of-a-hyperbola 2021-03-19T16:21:24Z Foci of a hyperbola from equation Sal discusses the foci of hyperbolas and shows how they relate to hyperbola equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/fN5xNEwDo7pABBo-PQVKZcs8fLgu9rFMFTSrHmvDyAHXKycHCAM8e5YS5-tCZmXF6JtwrXfVQ8WaMIHLa9rtgoo Foci of a hyperbola from equation Sal discusses the foci of hyperbolas and shows how they relate to hyperbola equations. https://cdn.kastatic.org/ka-youtube-converted/S0Fd2Tg2v7M.mp4/S0Fd2Tg2v7M.mp4 924 Conic Sections https://www.khanacademy.org/math/ka-revision-class-11-math/x64e5efbb29d87707:week-2-revision-ncert-class-11-math/x64e5efbb29d87707:conic-sections-revision-ncert-class-11-math/e/revision-conic-sections-ncert-class-11-math 2026-04-08T00:16:02.937952483Z Revision Conic Sections Practice problems for revision of Conic Sections. Satya Swaroop exercise