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If the sum of the slopes of the normal ...

If the sum of the slopes of the normal from a point P to the hyperbola `xy=c^(2)` is equal to `lambda(lambdainR)`, then the locus of point P is

A

`x^(2)-y^(2)=lambdac^(2)`

B

`y^(2)=lambdac^(2))`

C

`xy=lambdac^(2)`

D

`x^(2)=lambdac^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
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  15. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

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