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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

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

B

`-(a^2)/b^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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