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Find the equation of the circle passing ...

Find the equation of the circle passing through the points of intersection of the circles `x^(2) + y^(2) - x + 7y - 3 = 0, x^(2) + y^(2) - 5x - y + 1 = 0` and having its centre on the line x+y = 0.

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The correct Answer is:
`x^(2) + y^(2) - 3x + 3y - 1 = 0`
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