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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 hyperbola `x^2/a^2-y^2/b^2 =1` are at right angles , then `(x_1x_2)/(y_1y_2)` equals :

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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