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A variable circle always touches the lin...

A variable circle always touches the line `y =x ` and passes through the point ( 0,0). The common chords of above circle and `x^(2) +y^(2)+ 6x + 8 y -7 =0` will pass through a fixed point whose coordinates are `:`

A

(1,1)

B

(-1,1/2)

C

`(1/2,1/2)`

D

`(1/2,-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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