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Question

Let the length of the latus rectum of an ellipse with its major axis along x-axis and center at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then when one of the following points lies on it?

A
(43,23)
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B
(43,22)
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C
(42,22)
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D
(42,23)
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Solution

The correct option is D (43,22)
2ba2=8

and 2ae=2b

ba=e and 1e2=e2e=12

b=42 and a+8

so equation of ellipse is x264+y232=1

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