JEE Main 2021MathematicsStraight LinesEasyMCQ

JEE Main 2021 — Straight Lines Question with Solution

JEE Main 2021 (26 Feb Shift 1)

Question

The intersection of three lines x-y=0, x+2y=3 and 2x+y=6 is a/an

Choose an option

Show full solutionCorrect option: A
Correct answer
AIsosceles triangle

Step-by-step explanation

.

L1:x-y=0

L2:x+2y=3

L3:2x+y=6

On solving L1 and L2:y=1 and x=1

On solving L1 and L3, we get

x=2

y=2

L2 and L3:

x+2y=3

2x+y=6

On solving L2 & L3, we get

x=3

y=0

AC=4+1=5

BC=4+1=5

AB=1+1=2

so it is an isosceles triangle

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 2021, 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.