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Question

In an ellipse, the distance between the focus and the nearest endpoint of the major axis is equal to the distance between the two focii. If the length of its semi-minor axis is 22, then the length of its semi-major axis is?

A
4
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B
23
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C
10
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D
3
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Solution

The correct option is D 3
We know that semi-minor axis is given in terms of semi-major axis and eccentricity as b=a1e2

It is also given that foci and the ends of semi-major axis are equally spaced.
i.e.,a(1e)=2aee=13

Thus, a=b1e2=221(13)2=3

679401_631743_ans_dcaccb31958b446b93b0f5c6af1a6762.JPG

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