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Q.

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 

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a

3x+3y=xy

b

3x+2y=xy

c

2x+3y=xy

d

3x+2y=6xy

answer is B.

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Detailed Solution

Line is  xa+yb=1

⇒2x1+3y1=1

⇒2y1+3x1=x1y1

Locus is  3x+2y=xy

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