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A point P moves such that the sum of the...

A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola xy = 16 is equal to the sum of ordinates of feet of normals . The locus of P is a curve C.
The equation of the curve C is

A

`x^(2)=4y`

B

`x^(2)=16y`

C

`x^(2)=12y`

D

`y^(2)=8x`

Text Solution

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The correct Answer is:
B
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