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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=4` is equal to the sum of the ordinates of feet of normals. The locus of P is a curve C.
Q.If the tangent to the curve C cuts the coordinate axes at A and B, then , the locus of the middle point of AB is

A

`x^(2)=4y`

B

`x^(2)=2y`

C

`x^(2)+2y=0`

D

`x^(2)+4y=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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