JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 10 April 2023, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Let P be the point of intersection of the line

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

and the plane

x+y+z=2

. If the distance of the point P from the plane

3x-4y+12z=32

q

, then

q

and

2q

are the roots of the equation

(1) $x^2+18x+72=0$
(2) $x^2-18x-72=0$
(3) $x^2+18x-72=0$
(4) $x^2-18x+72=0$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Point-Plane Distance
Idea tested: Distance from Point

Same idea in other shifts

Asked 3× in all

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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.