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Saturday, 31 October

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JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 30 January 2024, Shift 1, Maths Q4

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

If

f(x)=\begin{vmatrix}2\cos^4x & 2\sin^4x & 3+\sin^22x\\ 3+2\cos^4x & 2\sin^4x & \sin^22x\\ 2\cos^4x & 3+2\sin^4x & \sin^22x\end{vmatrix}

, then

\frac{1}{5}f'(0)

is equal to :

(1) $0$ Official answer
(2) $1$
(3) $2$
(4) $6$

Official answer

Option 1

NTA final key.

Chapter: Determinants
Topic: Chain Rule
Idea tested: Differentiating Determinants via Chain Rule

Same idea in other shifts

Asked 2× in all

3 Apr 2025, Shift 1 · Q16If $y(x) = \begin{vmatrix} \sin x & \cos x & \sin x + \cos x + 1 \\ 27 & 28 & 27 \\ 1 & 1 & 1 \end{vmatrix}$ , $x \in \mathbb{R}$ , then…MediumSingle 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.