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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 `x^2=lambdac^2` (b) `y^2=lambdac^2` `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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A
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