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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 June 2022, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

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

\Delta

PQR is :

(1) $\frac{25}{4\sqrt{3}}$
(2) $\frac{25\sqrt{3}}{2}$
(3) $\frac{25}{\sqrt{3}}$
(4) $\frac{25}{2\sqrt{3}}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Altitude Length of a Triangle

Same idea in other shifts

Asked 2× in all

5 Apr 2024, Shift 1 · Q14Let two straight lines drawn from the origin O intersect the line $3x+4y=12$ at the points P and Q such that $\triangle OPQ$ is an…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.