JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 1 February 2024, Shift 2, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

Let

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

R(1,2,3)

. If the centroid of the triangle

PQR

(\alpha,\beta,\gamma)

, then

\alpha^2+\beta^2+\gamma^2

is :

(1) $18$ Official answer
(2) $24$
(3) $26$
(4) $36$

Official answer

Option 1

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
31 Jan 2024, Shift 2 · Q29A 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 $AB$ …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.