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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. Locus of point of intersection of two perpendicular tangents to the hyperbola is

A

`(x-3)^(2)+(y-(7)/(2))^(2)=(1)/(4)`

B

`(x-3)^(2)+(y-(7)/(2))^(2)=(3)/(4)`

C

`(x-3)^(2)+(y-(7)/(2))^(2)=(5)/(4)`

D

`(x-3)^(2)+(y-(7)/(2))^(2)=(7)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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