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

Question 1

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

(A) 2x + 3y = xy

(B) 3x + 2y = xy

(C) 3x + 2y = 6xy

(D) 3x + 2y = 6

Question 2

Answer is (B) 3x + 2y = xy

From the given data, we can draw as

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

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

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