JEE Main 2024 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 31 January 2024, Shift 2, Maths Q29

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

A line passes through

A(4,-6,-2)

and

B(16,-2,4)

. The point

P(a,b,c)

, where

a, b, c

are non-negative integers, on the line

AB

lies at a distance of 21 units, from the point

A

. The distance between the points

P(a,b,c)

and

Q(4,-12,3)

is equal to ____________.

Official answer

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Lines in 3D
Idea tested: Parametric Points at Distance r

Same idea in other shifts

Asked 3× in all

4 Apr 2024, Shift 1 · Q17Let the point, on the line passing through the points P $(1, -2, 3)$ and Q $(5, -4, 7)$ , farther from the origin and at a distance of 9…MediumSingle correct
1 Feb 2024, Shift 2 · Q16Let $P$ and $Q$ be the points on the line $\frac{x+3}{8}=\frac{y-4}{2}=\frac{z+1}{2}$ which are at a distance of $6$ units from the point…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 108 of the 174 JEE Main shifts held from 2017 to 2026.