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If the locus of the point of intersectio...

If the locus of the point of intersection of perpendicular tangents to the ellipse `x^2/a^2+y^2/b^2=1` is a circle with centre at (0,0), then the radius of the circle would be

A

`x^2+y^2=a^2+b^2`

B

`x^2+y^2=2(a^2+b^2)`

C

`x^2+y^2=4(a^2+b^2)`

D

None of these

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The correct Answer is:
A
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