JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 24 June 2022, Shift 1, Maths Q24

Question 24 of 90 in this shift, Maths question 24 of 30, Section B.

Let a line having direction ratios

1, -4, 2

intersect the lines

\frac{x-7}{3}=\frac{y-1}{-1}=\frac{z+2}{1}

and

\frac{x}{2}=\frac{y-7}{3}=\frac{z}{1}

at the points A and B. Then

(AB)^2

is equal to ______.

Official answer

NTA final key (2022 Session 1).

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
26 Jul 2022, Shift 1 · Q30Let 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,…HardNumerical 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.