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Ex 10.3, 4 - Chapter 10 Class 11 Conic Sections
Last updated at May 29, 2023 by Teachoo
Ellipse - Defination
Example 9
Ex 10.3, 1
Ex 10.3, 3
Ex 10.3, 5 Important
Ex 10.3, 2 Important
Ex 10.3, 4 You are here
Ex 10.3, 6
Ex 10.3, 9
Example 10 Important
Ex 10.3, 8
Ex 10.3, 7 Important
Ex 10.3, 10
Example, 11
Ex 10.3, 12 Important
Ex 10.3, 11 Important
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Ex 10.3, 14 Important
Ex 10.3, 15
Example 12 Important
Ex 10.3, 16 Important
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Ex 10.3, 18 Important
Example 13 Important
Ex 10.3, 19 Important
Ex 10.3, 20
Transcript
Ex 10.3, 4 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 25 + y2 100 = 1 2 25 + 2 100 = 1 Since 25 < 100 Hence the above equation is of the form 2 2 + 2 2 = 1 Comparing (1) & (2) We know that c = a2 b2 c = 100 25 c = 75 c = 5 Co-ordinate of foci = (0, c) = (0, 5 3 ) So co-ordinates of foci (0, 5 3 ), & (0, 5 3 ) Vertices = (0, a) = (0, 10) So vertices are (0, 10) & (0, 10) Length of major axis = 2a = 2 10 = 20 Length of minor axis = 2b = 2 5 = 10 Eccentricity e = c a = 5 3 10 = 3 2 Length of latus rectum = 2b2 a = 2 25 10 = 5
