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JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2026, Shift 2, Maths Q4

Question 4 of 75 in this shift, Maths question 4 of 25, Section A.

The sum of all possible values of

\theta\in[0,2\pi]

, for which the system of equations :

x\cos 3\theta-8y-12z=0

x\cos 2\theta+3y+3z=0

x+y+3z=0

has a non-trivial solution, is equal to :

(1) $\pi$
(2) $2\pi$
(3) $3\pi$
(4) $4\pi$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Determinants
Topic: Cramer's Rule
Idea tested: Homogeneous System Solutions

Same idea in other shifts

Asked 2× in all

9 Jan 2020, Shift 2 · Q55The following system of linear equations $7x+6y-2z=0$ $3x+4y+2z=0$ $x-2y-6z=0$ , hasEasySingle 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.