JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2024, Shift 1, Maths Q4

Question 4 of 90 in this shift, Maths question 4 of 30, Section A.

If the system of equations

x+(\sqrt{2}\sin\alpha)y+(\sqrt{2}\cos\alpha)z=0

x+(\cos\alpha)y+(\sin\alpha)z=0

x+(\sin\alpha)y-(\cos\alpha)z=0

has a non-trivial solution, then

\alpha \in \left(0, \frac{\pi}{2}\right)

is equal to :

(1) $\frac{3\pi}{4}$
(2) $\frac{7\pi}{24}$
(3) $\frac{5\pi}{24}$ Official answer
(4) $\frac{11\pi}{24}$

Official answer

Option 3

NTA final key.

Chapter: Determinants
Topic: Cramer's Rule
Idea tested: Parameter Evaluation in Homogeneous Systems

Same idea in other shifts

Asked 9× in all

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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.