JEE Advance - Mathematics (1996 - No. 21)

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................................
x² + y² - x - y = 0
x² + y² - 2x - 2y = 0
x² + y² + x + y = 0
x² + y² - x + y = 0
x² + y² + 2x + 2y = 0

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