JEE Main On 08 April 2018 Question 17
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: [JEE Main Online 08-04-2018]
Options:
A) $ 3x+2y=xy $
B) $ 3x+2y=6xy $
C) $ 3x+2y=6 $
D) $ 2x+3y=xy $
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{x}{h}+\frac{y}{k}=1 $
$ \frac{2}{h}+\frac{3}{k}=1 $
$ 2k+3h=hk $
$ 3x+2y=xy $
