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JEE Main 2026 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 4 April 2026, Shift 1, Maths Q14

Question 14 of 75 in this shift, Maths question 14 of 25, Section A.

A line with direction ratios

1,-1,2

intersects the lines

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

and

\frac{x+1}{-1}=\frac{y-2}{1}=\frac{z}{4}

at the points P and Q, respectively. If the length of the line segment PQ is

\alpha

, then

225\alpha^2

is equal to:

(1) $1024$
(2) $1014$ Official answer
(3) $1104$
(4) $1204$

Official answer

Option 2

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

29 Jan 2024, Shift 1 · Q29A 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…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 42 of the 174 JEE Main shifts held from 2017 to 2026.