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If the chords of contact of tangents from two poinst `(x_1, y_1)` and `(x_2, y_2)` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` are at right angles, then find the value of `(x_1x_2)/(y_1y_2)dot`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
c
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