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Q.

The major axis of the ellipse, whose axis are the coordinate axes with latus rectum 20, whose minor axis is the distance between the foci, is

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a

36

b

20

c

40

d

18

answer is D.

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Detailed Solution

$2 b = 2 a e \Rightarrow b = a e$

$b^{2} = a^{2} (1 - c^{2}) = a^{2} e^{2}$

$e^{2} = \frac{1}{2},$

Length of latus rectum $= \frac{2 b^{2}}{a} = 20$

$a = 20$

$2 a = 40$

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