JEE Main 2014MathematicsStraight LinesMediumMCQ

JEE Main 2014 — Straight Lines Question with Solution

JEE Main 2014 (06 Apr)

Question

Let PS be the median of the triangle with vertices P(2,2), Q(6,-1) and R(7,3). The equation of the line passing through (1,-1) and parallel to PS is 

Choose an option

Show full solutionCorrect option: D
Correct answer
D2x+9y+7=0

Step-by-step explanation

P(2,2); Q(6,-1); R(7,3)

S is the midpoint of Q and R.

∴   S≡132, 1

∴ Slope of PS=2-12-132=1-92=-29

Therefore, the equation of the line passing through (1,-1) and parallel to PS is

 y+1=-29x-1

∴ 9y+9=-2x+2

∴ 2x+9y+7=0

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About this question

This is a previous-year question from JEE Main 2014, 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.