JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 July 2022, Shift 2, Maths Q77

Question 77 of 90 in this shift, Maths question 17 of 30, Section A.

Let

ax + by + cz + 3 = 0

be the plane which bisects the acute angle between the planes

2x - y - 2z + 3 = 0

and

3x - 2y + 6z + 8 = 0

. Then

a + b + c

is equal to

(1) $-31$
(2)28Official answer
(3) $\frac{14}{15}$
(4) $-28$

Official answer

Option 2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Angle Bisector Planes

Same topic in other shifts

All Planes in 3D questions

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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.