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The tangent at P on the hyperbola x^2/a^...

The tangent at P on the hyperbola `x^2/a^2-y^2/b^2=1` meets the asymptotes -`y/a-y/b=0` if the locus of the midpoint of PQ has the equation `x^2/a^2-y^2/b^2= k`, then k has the value equal to

A

`1//2`

B

2

C

`3//4`

D

`4//3`

Text Solution

Verified by Experts

The correct Answer is:
C
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