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The locus of the point of intersection o...

The locus of the point of intersection of two perpendicular tangents to `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`, lies on

A

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

B

`(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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