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If there are two points `A and B` on rectangular hyperbola `xy=c^2` such that abscissa of `A =` ordinate of `B,` then locusof point of intersection of tangents at `A and B` is (a) `y^2-x^2=2c^2` (b) `y^2-x^2=c^2/2` (c) `y=x` (d) non of these

A

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

B

`y^(2)=x^(2)+(c^(2))/(2)`

C

`y=x`

D

`y=3x`

Text Solution

Verified by Experts

The correct Answer is:
C
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