Subscribe to our Youtube Channel - https://www.youtube.com/channel/UCZBx269Tl5Os5NHlSbVX4Kg

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 11.3, 1 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 x236 + y216 = 1 The given equation is 𝑥236 + 𝑦216 = 1 Since 36 > 16, The above equation is of the form 𝑥2𝑎2 + 𝑦2𝑏2 = 1 Comparing (1) and (2) We know that c2 = a2 − b2 c2 = 62 – 42 c2 = 36 − 16 c2 = 20 c = 20 c = 2 × 2 × 5 c = 2𝟓 Coordinates of foci = ( ± c, 0) = (± 25, 0) So, coordinates of foci are (25, 0) & (−25, 0) Vertices = (± a, 0) = (± 6, 0) Thus vertices are (6, 0) and (–6, 0) Length of major axis = 2a = 2 × 6 = 12 Length of minor axis = 2b = 2 × 4 = 8 Eccentricity is e = 𝑐𝑎 = 256 Latus Rectum = 2𝑏2𝑎 = 2 × 426 = 163

Ex 11.3

Ex 11.3, 1
You are here

Ex 11.3, 2

Ex 11.3, 3

Ex 11.3, 4

Ex 11.3, 5 Important

Ex 11.3, 6

Ex 11.3, 7

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

Chapter 11 Class 11 Conic Sections

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.