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All chords.of the curve x^2+y^2-10x-4y+4...

All chords.of the curve `x^2+y^2-10x-4y+4=0` which make a right angle at (8,-2) pass through

A

`(2,5)`

B

`(-2,-5)`

C

`(-5,-2)`

D

`(5,2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(8,-2)` lies on the circle `(x-5)^(2) +(y-2)^(2) =25` and a chord making a right angle at `(8,-2)` must be a diameter of the circle. So they all pass through the centre `(5,2)`.
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