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A circle c touches the line y = x at a ...

A circle c touches the line `y = x` at a point P whose distance from the origin is `4sqrt(2)`. The point `(-10, 2)` lies inside c. The length of the chord cut off by c, on the line `x+y=0` is `6sqrt(2)`. Find the equation of c.

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The correct Answer is:
`x^(2) + y^(2) + 18x - 2y + 32 = 0`
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