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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

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 2 Single Correct)
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  11. Let C be the centre of the ellipse E whose equation is 3x^2 + 4y^2- 12...

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