JEE Main 2019MathematicsStraight LinesEasyMCQ

JEE Main 2019 — Straight Lines Question with Solution

JEE Main 2019 (09 Jan Shift 1)

Question

Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true?

Choose an option

Show full solutionCorrect option: B
Correct answer
BThe lines are concurrent at the point 34,12 .

Step-by-step explanation

Given condition is 3p+2q+4r=0

⇒34p+12q+r=0   .......1

And given family of line is px+qy+r=0 ...(ii)

From (i) we can say that equation (ii) always passes through 34,12 .

Hence all lines are concurrent at 34,12 .

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 2019, 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.