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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. 3 x + 2 y = 6
2. 2 x + 3 y = xy
3. 3 x + 2 y = xy
4. 3 x + 2 y = 6 xy Students may find similar question in CP exercise sheet : [ JEE Main, Chapter : Straight line Q. No. 12 ]

Correct answer: 3 x + 2 y = xy

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