question_answer

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: [JEE Main Online 08-04-2018]

A)  \[3x+2y=xy\]            

B)  \[3x+2y=6xy\]

C)  \[3x+2y=6\]              

D)  \[2x+3y=xy\]

Correct Answer: A

Solution :

\[\frac{x}{h}+\frac{y}{k}=1\] \[\frac{2}{h}+\frac{3}{k}=1\] \[2k+3h=hk\] \[3x+2y=xy\]