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A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q.

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A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is:
(1) 3x + 2y = 6
(2) 2x + 3y = xy
(3) 3x + 2y = xy
(4) 3x + 2y = 6xy

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