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The equation of the locus of the middle ...

The equation of the locus of the middle point of a chord of the circle `x^2+y^2=2(x+y)` such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is (a) `x+y=2` (b) `x-y=2` (c) `2x-y=1` (d) none of these

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