JEE Main 2022MathematicsStraight LinesMediumMCQ

JEE Main 2022 — Straight Lines Question with Solution

JEE Main 2022 (26 Jun Shift 1)

Question

Let R be the point 3,7 and let P and Q be two points on the line x+y=5 such that PQR is an equilateral triangle. Then the area of ∆PQR is

Choose an option

Show full solutionCorrect option: D
Correct answer
D2523

Step-by-step explanation

Given PQR is an equilateral triangle.

Let the side of the triangle be a

Perpendicular distance from R3,7 to the line x+y=5 is

3+7-51+1=52

So sin60°=52a

a=523

Area of ∆PQR=34a2=2523

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About this question

This is a previous-year question from JEE Main 2022, 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.