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If the chords of contact of tangents from two points `(x_(1),y_(1)) and (x_(2),y_(2))` to the elipse`x^(2)/a^(2)+y^(2)/b^(2)=1` are at right angles, then find `(x_(1)x_(2))/(y_(1)y_(2))`

A

`(a^(2))/(b^(2))`

B

`(-b^(2))/(a^(2))`

C

`(-a^(4))/(b^(4))`

D

`(-b^(4))/(a^(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
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