Ex 11.3, 5 - Chapter 11 Class 11 Conic Sections (Term 2)
Last updated at Feb. 6, 2020 by Teachoo
Ex 11.3
Ex 11.3, 2 Important
Ex 11.3, 3
Ex 11.3, 4
Ex 11.3, 5 Important You are here
Ex 11.3, 6
Ex 11.3, 7 Important
Ex 11.3, 8
Ex 11.3, 9
Ex 11.3, 10
Ex 11.3, 11 Important
Ex 11.3, 12 Important
Ex 11.3, 13
Ex 11.3, 14 Important
Ex 11.3, 15
Ex 11.3, 16 Important
Ex 11.3, 17
Ex 11.3, 18 Important
Ex 11.3, 19 Important
Ex 11.3, 20
Ex 11.3
Last updated at Feb. 6, 2020 by Teachoo
Ex 11.3, 5 Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse x2/49 + y2/36 = 1 𝑥^2/49 + 𝑦^2/36 = 1 Since 49 > 36 Hence the above equation is of the form 𝑥^2/𝑎^2 + 𝑦^2/𝑏^2 = 1 Comparing (1) & (2) We know that c = √(a2−b2) c = √(49−36) c = √𝟏𝟑 Coordinate of foci = (± c, 0) = (± √𝟏𝟑, 0) So coordinate of foci are (√13, 0), (−√13, 0) Vertices = (± a, 0) = (±7, 0) So vertices are (7, 0) & (−7, 0) Length of major axis = 2a = 2 × 7 = 14 Length of minor axis = 2b = 2 × 6 = 12 Eccentricity e = 𝑐/𝑎 = √𝟏𝟑/𝟕 Latus rectum = (2𝑏^2)/𝑎 = (2 × 36)/7 = 𝟕𝟐/𝟕