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JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q89

Question 89 of 90 in this shift, Maths question 29 of 30, Section B.

Let S be the sum of all solutions (in radians) of the equation

\sin^4\theta + \cos^4\theta - \sin\theta\cos\theta = 0

in

[0, 4\pi]

. Then

\frac{8S}{\pi}

is equal to __________.

Official answer

56

NTA final key.

Chapter: Trigonometric Functions
Topic: General Solutions
Idea tested: Fourth Power Identity Application

Same idea in other shifts

Asked 2× in all

2 Sep 2020, Shift 2 · Q69If the equation $\cos^4\theta+\sin^4\theta+\lambda=0$ has real solutions for $\theta$ , then $\lambda$ lies in the interval :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.