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JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 3 August 2021, Shift 1, Maths Q76

Question 76 of 90 in this shift, Maths question 16 of 30, Section A.

The 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 point

(1) $(2, 6, 1)$
(2) $(2, 6, 0)$ Official answer
(3) $(3, 6, -1)$
(4) $(3, 5, 1)$

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

26 Feb 2021, Shift 1 · Q79Consider 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 ?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.