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JEE Math Practice Question

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 :

  1. A.$$\,{x^2}\, + \,{y^2} + \,x\, - \,y\,\, = 0$$
  2. B.$$\,{x^2}\, + \,{y^2} - \,x\, + \,y\,\, = 0$$
  3. C.$$\,{x^2}\, + \,{y^2} + \,x\, + \,y\,\, = 0$$
  4. D.$$\,{x^2}\, + \,{y^2} - \,x\, - \,y\,\, = 0$$

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