Ex 11.3, 2 - Chapter 11 Class 11 Conic Sections (Term 2)
Last updated at Sept. 6, 2021 by Teachoo
Last updated at Sept. 6, 2021 by Teachoo
Transcript
Ex 11.3, 2 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 x24 + y225 = 1 x24 + y225 = 1 Since 4 < 25 The above equation is of the form 𝑥2𝑏2 + 𝑦2𝑎2 = 1 Comparing (1) & (2) We know that c = 𝑎2−𝑏2 c = 25−4 c = 𝟐𝟏 Coordinate of foci = (0, ± c) = (0, ± 21) So co-ordinate of foci are (0, 21) &(0, − 21) Vertices = (0, ± a) = (0, ± 5) Thus, vertices are (0, 5) & (0, −5) Length of major axis = 2a = 2 × 5 = 10 Length of minor axis = 2b = 2 × 2 = 4 Eccentricity e = 𝑐𝑎 = 215 Latus rectum = 2𝑏2𝑎 = 2 × 45 = 85
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