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Let A(1, 2), B(3, 4) be two points and C...

Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that area of `DeltaABC` is 3 sq. units and `(x- 1)(x-3)+ (y-2)(y-4)=0`. Then number of positions of C, in the xy plane is

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