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The locus of the point of intersection o...

The locus of the point of intersection of perpendicular tangents to `x^(2)/a^(2) + y^(2)/b^(2) = 1` and `(x^(2))/(a^(2) + lambda) + (y^(2))/(b^(2) + lambda) = 1`, is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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