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JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q20

Question 20 of 90 in this shift, Maths question 20 of 30, Section A.

If

y(\theta) = \frac{2\cos\theta + \cos 2\theta}{\cos 3\theta + 4\cos 2\theta + 5\cos\theta + 2}

, then at

\theta = \frac{\pi}{2}

,

y'' + y' + y

is equal to :

(1) $\frac{1}{2}$
(2)1
(3) $\frac{3}{2}$
(4)2Official answer

Official answer

Option 4

NTA final key.

Chapter: Continuity and Differentiability
Topic: Chain Rule
Idea tested: Second Derivative of Composite Functions

Same idea in other shifts

Asked 2× in all

8 Apr 2023, Shift 1 · Q19Let $f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}$ , $x\in[0,\pi]-\left\{\frac{\pi}{4}\right\}$ . Then…HardSingle 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.