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Question

(4,1),(6,1) are the vertices of an ellipse and one of the foci lies on x2y=2 then the eccentricity is

A
35
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B
45
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C
25
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D
15
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Solution

The correct option is A 35
Given, (4,1) and (6,1) are vertices of an ellipse.
Major axis of ellipse is y=1
Centre of ellipse is (1,1)
Foci are x=2+2y=2+2=4
Focus is (4,1)
Focus lies on major axis.
ae= Distance b/w focus and centre =3
a=102=5

e=35

Hence, option A.

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