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 :
$\,{x^2}\, + \,{y^2} + \,x\, - \,y\,\, = 0$
$\,{x^2}\, + \,{y^2} - \,x\, + \,y\,\, = 0$
$\,{x^2}\, + \,{y^2} + \,x\, + \,y\,\, = 0$
$\,{x^2}\, + \,{y^2} - \,x\, - \,y\,\, = 0$
