JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 1, Maths Q57

Question 57 of 75 in this shift, Maths question 7 of 25.

y^2+\log_e(\cos^2x)=y

x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)

, then :

(1) $|y'(0)|+|y''(0)|=3$
(2) $y''(0)=0$
(3) $|y'(0)|+|y''(0)|=1$
(4) $|y''(0)|=2$ Official answer

Official answer

Option 4

NTA final key (Sep 2020).

Chapter: Continuity and Differentiability
Topic: Chain Rule
Idea tested: Second Order Implicit Chain Rule

Same idea in other shifts

Asked 5× 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.