JEE Main 2016MathematicsStraight LinesMediumMCQ

JEE Main 2016 — Straight Lines Question with Solution

JEE Main 2016 (09 Apr Online)

Question

The point 2,1 is translated parallel to the line L:x-y=4 by 23 units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is

Choose an option

Show full solutionCorrect option: D
Correct answer
Dx+y=3-26

Step-by-step explanation

Equation of line QR perpendicular to L:x-y=4 is
x+y-c=0   …1

Distance of QR from 2,1 is 23

⇒ 23=2+1-c2

⇒ 26=3-c

⇒ c-3=±26 ⇒c=3±26

Line can be x+y=3±26 

x+y=3-26   (since Q is in the third quadrant)

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Straight Lines chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2016, 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.