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Let P(x, y) be a variable point such tha...

Let P(x, y) be a variable point such that `|sqrt((x-1)^(2)+(y-2)^(2))-sqrt((x-5)^(2)+(y-5)^(2))=4` which represents a hyperbola.
Q. If origin is shifted to point `(3, (7)/(2))` and axes are rotated in anticlockwise through an angle `theta`, so that the equation of hyperbola reduces to its standard form `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, then `theta` equals

A

`tan^(-1)((4)/(3))`

B

`tan^(-1)((3)/(4))`

C

`tan^(-1)((5)/(4))`

D

`tan^(-1)((4)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
B
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