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If a variable circle S=0 touches the lin...

If a variable circle S=0 touches the line y=x and passes through the point (0,0) then the fixed point that lies on the common chord of the circles x²+y²+6x+8y-7=0 is

A

`((1)/(2),(1)/(2))`

B

`(-(1)/(2),-(1)/(2))`

C

`((1)/(2),-(1)/(2))`

D

`(-(1)/(2),(1)/(2))`

Text Solution

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The correct Answer is:
A
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