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The intercept on the line y=x by the cir...

The intercept on the line `y=x` by the circle `x^2+y^2-2x=0` is AB. Equation of the circle with AB as a diameter is (A) `(x-1/2)^3+(y-1/2)^2=1/2` (B) `(x-1/2)^2+(y-1/2)^2=1/4` (C) `(x+1/2)^2+(y+1/2)^2=1/2` (D) `(x+1/2)^2+(y+1/2)^2=1/4`

A

`x ^(2) +y ^(2) + x + y =0`

B

`x^(2) +y ^(2) -x + y =0`

C

`x ^(2) +y ^(2) -x-y =0`

D

`x ^(2) +y ^(2) + x-y =0`

Text Solution

Verified by Experts

The correct Answer is:
C
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