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If the sum of the slopes of the normal from a point `P` to the hyperbola `x y=c^2` is equal to `lambda(lambda in R^+)` , then the locus of point `P` is (a) `x^2=lambdac^2` (b) `y^2=lambdac^2` (c) `x y=lambdac^2` (d) none of these

A

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

B

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

C

`xy=lambdac^(2)`

D

None of these

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ARIHANT MATHS ENGLISH-HYPERBOLA-Exercise For Session 3
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  4. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

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  6. Find the product of the length of perpendiculars drawn from any point ...

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  8. If the sum of the slopes of the normal from a point P to the hyperbola...

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  9. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

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  12. The equation of the transvers and conjugate axes of a hyperbola are, ...

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  13. Find the equation of that diameter which bisects the chord 7x+y-2=0 of...

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  15. The asymptotes of the hyperbola centre of the point (1, 2) are parall...

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  16. If the pair of straight lines Ax^(2)+2Hxy+By^(2)=0 be conjugate diamet...

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