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The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) ...

The line`2px+ysqrt(1-p^(2))=1(abs(p)lt1)` for different values of p, touches a fixed ellipse whose exes are the coordinate axes. Q. The locus of the point of intersection of prependicular tangents of the ellipse is

A

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

B

`x^(2)+y^(2)=3/2`

C

`x^(2)+y^(2)=5/4`

D

`x^(2)+y^(2)=1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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