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Q.

If the length of the latusrectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major axis is 32 units, then its eccentricity =

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a

23

b

19

c

12

d

13

answer is D.

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Detailed Solution

2b2a=4 ⇒ b2=2a SS'=2ae=32 ae=34 ⇒a2e2=916 a2-b2=916 a2-2a+1=916+1 (a-1)2=2516 ⇒a -1=54 a=94 Now ae=34 ⇒ e=13

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