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Family of curves whose tangent at a poin...

Family of curves whose tangent at a point with its intersection with the curve `xy = c^2` form an angle of `pi/4` is
a. `y^(2)-2xy-x^(2)=k`
b. `y^(2)+2xy-x^(2)=k`
c. `y=x-2ctan^(-1)((x)/(c))+k`
d. `y=cIn|(c+x)/(c-x)|-x+k`

A

`y^(2)-2xy-x^(2)=k`

B

`y^(2)+2xy-x^(2)=k`

C

`y=x-2ctan^(-1)((x)/(c))+k`

D

`y=cIn|(c+x)/(c-x)|-x+k`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
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