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Question

If (3,4) and (8,6) are the foci of an ellipse passing through the origin, then the eccentricity of the ellipse is

A
2915
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B
12
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C
12
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D
1529
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Solution

The correct option is A 2915
If two foci are S(3,4) and S(8,6) and the ellipse passes through origin O.

Then SO=9+16=5,
SO=64+36=10
and SS=29

As we know that for an ellipse SO+SO=2a and
SS=2ae
e=SSSO+SO=2915

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