JEE Main | 2018Straight LineHard

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 :

Options

A.

2x + 3y = xy

B.

3x + 2y = xy

C.

3x + 2y = 6xy

D.

3x + 2y = 6

Solution


Equation of PQ is 
xh+yk=1
passes through (2, 3) so  2h+3k=1
So locus 2x+3y=1
3x + 2y = xy

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