JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 4 April 2024, Shift 1, Maths Q17

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

Let 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 units from the point P, be

(\alpha, \beta, \gamma)

. Then

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

is equal to :

(1) $150$
(2) $165$
(3) $160$
(4) $155$ Official answer

Official answer

Option 4

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

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
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.