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Question

An ellipse, with foci at (0,2) and (0,2) and minor axis of length 4 units, passes through which of the following points?

A
(2,2)
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B
(1,22)
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C
(2,2)
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D
(2,22)
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Solution

The correct option is C (2,2)
Foci are (0,2) and (0,2)
So, major axis is along the y-axis.
Let the equation of ellipse be x2a2+y2b2=1 (b>a)

Given, 2a=4 and 2be=4
a=2, be=2
b2e2=4b2a2=4b2=8
Therefore, equation of the ellipse is x24+y28=1
By putting all the points, we get that (2,2) lies on the ellipse.

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