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Find the equation of the circle which pa...

Find the equation of the circle which passes through the points of intersection of the circle `x^(2) + y^(2) + 4(x+y) + 4 = 0` with the line x+y+2 = 0 and has its centre at the origin.

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The correct Answer is:
`x^(2) + y^(2) - 4 = 0`
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