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If two points are taken on the minor axi...

If two points are taken on the minor axis of an ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at the same distance from the center as the foci, then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is `2a^2dot`

A

`a^(2)`

B

`b^(2)`

C

`2a^(2)`

D

`2b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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