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

Question:

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. 2x + 3y = xy

  2.  3x + 2y = xy

  3. 3x + 2y = 6xy

  4.  3x + 2y = 6


Correct Option: , 2

Solution:

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