Intercept on the line $y=x$ by the circle $x^2+y^2-2x=0$ is $AB$ equation of the circle on AB as a diameter is :

Question

$\begin{array}{1 1}(A)\;x^2+y^2+x-y-=0 \\(B)\;x^2+y^2-x+y=0 \\(C)\;x^2+y^2+x+y=0 \\(D)\;x^2+y^2-x-y=0 \end{array}$