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JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 29 January 2024, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

A line with direction ratios

2,1,2

meets the lines

x=y+2=z

and

x+2=2y=2z

respectively at the points P and Q. If the length of the perpendicular from the point

(1,2,12)

to the line PQ is

l

, then

l^2

is ______.

Official answer

65

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Lines in 3D
Idea tested: Line Parallel to Vector Intersecting Two Lines

Same idea in other shifts

Asked 2× in all

4 Apr 2026, Shift 1 · Q14A line with direction ratios $1,-1,2$ intersects the lines $\frac{x}{2}=\frac{y}{3}=\frac{z+1}{3}$ and…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 42 of the 174 JEE Main shifts held from 2017 to 2026.