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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 1, Maths Q66

Question 66 of 75 in this shift, Maths question 16 of 25.

The 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 :

(1) $(2, 0, -1)$
(2) $(-2, 0, 1)$ Official answer
(3) $(0, 6, -2)$
(4) $(0, -6, 2)$

Official answer

Option 2

NTA final key (Sep 2020).

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

13 Apr 2023, Shift 2 · Q14The 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…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.