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Find the equation of the circle passing ...

Find the equation of the circle passing through the point of intersection of the circles `x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0` and with its centre on the line `y = x.`

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The correct Answer is:
`7x^(2)+7y^(2)-10x-10y-12=0`
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