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JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 13 April 2023, Shift 2, Maths Q14

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

The plane, passing through the points

(0,-1,2)

and

(-1,2,1)

and parallel to the line passing through

(5,1,-7)

and

(1,-1,-1)

, also passes through the point

(1) $(1,-2,1)$
(2) $(-2,5,0)$ Official answer
(3) $(2,0,1)$
(4) $(0,5,-2)$

Official answer

Option 2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Plane Through Two Points Parallel to a Vector

Same idea in other shifts

Asked 2× in all

2 Sep 2020, Shift 1 · Q66The plane passing through the points $(1, 2, 1)$ , $(2, 1, 2)$ and parallel to the line, $2x=3y$ , $z=1$ also passes through 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 42 of the 174 JEE Main shifts held from 2017 to 2026.