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JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 1, Maths Q16

Question 16 of 75 in this shift, Maths question 16 of 25, Section A.

If

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

\frac{d^2y}{dx^2} + y

is equal to

(1)27
(2) $-1$ Official answer
(3)1
(4)28

Official answer

Option 2

NTA final key.

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

Same idea in other shifts

Asked 2× in all

30 Jan 2024, Shift 1 · Q4If…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.