JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 26 July 2022, Shift 1, Maths Q30

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

Let Q and R be two points on the line

\frac{x + 1}{2} = \frac{y + 2}{3} = \frac{z - 1}{2}

at a distance

\sqrt{26}

from the point P(4, 2, 7). Then the square of the area of the triangle PQR is __________.

Official answer

153

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Lines in 3D
Idea tested: General Point Parameterization

Same idea in other shifts

Asked 3× in all

27 Jan 2024, Shift 1 · Q17The distance, of the point $(7, -2, 11)$ from the line $\dfrac{x-6}{1}=\dfrac{y-4}{0}=\dfrac{z-8}{3}$ along the line…MediumSingle correct
24 Jun 2022, Shift 1 · Q24Let a line having direction ratios $1, -4, 2$ intersect the lines $\frac{x-7}{3}=\frac{y-1}{-1}=\frac{z+2}{1}$ and…MediumNumerical value

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.