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The family of curves whose tangent form ...

The family of curves whose tangent form an angle `(pi)/(4)` with the hyperbola xy=1,is

A

`y=x-2tan^(-1)(x)+k`

B

`y=x+2tan^(-1)(x)+k`

C

`y=2x-tan^(-1)(x)+k`

D

`y=2x+tan^(-1)(x)+k`

Text Solution

Verified by Experts

The correct Answer is:
A
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