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If chords of contact of the tangent from two points `(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 `(x_1x_2)/(y_1y_2)` is equal to

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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Knowledge Check

  • If the chords of contact of tangents from two points (x_(1),y_(1)) and (x_(2),y_(2)) to the ellipse (x^(2))/(5^(2))+(y^(2))/(6)^(2) =1 are at right angles then (x^(1),x_(2))/(y_(1)y_(2)) is equal to

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