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JEE Main 2021 · MathsMultiple choiceSingle correctEasyConceptual

JEE Main 26 February 2021, Shift 1, Maths Q79

Question 79 of 90 in this shift, Maths question 19 of 30, Section A.

Consider the three planes

P_1 : 3x+15y+21z=9

,

P_2 : x-3y-z=5

, and

P_3 : 2x+10y+14z=5

Then, which one of the following is true ?

(1) $P_1$ and $P_2$ are parallel.
(2) $P_1$ and $P_3$ are parallel.Official answer
(3) $P_1, P_2$ and $P_3$ all are parallel.
(4) $P_2$ and $P_3$ are parallel.

Official answer

Option 2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Equation of a Parallel Plane

Same idea in other shifts

Asked 2× in all

3 Aug 2021, Shift 1 · Q76The plane which is parallel to $\vec{r} \cdot (\hat{i} + 2\hat{j} + 3\hat{k}) = 6$ and passes through (1, 2, 3), also passes through the…EasySingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.