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Question

An ellipse, with foci at (0,2) and (0,2) and minor axis of length 4, 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 y-axis.
Let the equation of ellipse be x2b2+y2a2=1

Given, 2b=4 and 2c=4
b=2, c=2
c2=4a2b2=4a2=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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