JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 January 2024, Shift 1, Maths Q17

Question 17 of 90 in this shift, Maths question 17 of 30, Section A.

The 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

\dfrac{x-5}{2}=\dfrac{y-1}{-3}=\dfrac{z-5}{6}

, is :

(1) $12$
(2) $14$ Official answer
(3) $18$
(4) $21$

Official answer

Option 2

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

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
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.