JEE Main 2018MathematicsStraight LinesMediumMCQ

JEE Main 2018 — Straight Lines Question with Solution

JEE Main 2018 (08 Apr)

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:

Choose an option

Show full solutionCorrect option: D
Correct answer
D3x+2y=xy

Step-by-step explanation

Let the equation of line be xa+yb=1   .......1

Clearly Pa,0 and Q0,b. Also h=a, k=b

Now 1 passes through 2,3

⇒2a+3b=1

⇒2h+3k=1

Hence, locus is 3x+2y=xy

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About this question

This is a previous-year question from JEE Main 2018, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.