JEE Main 2020MathematicsTrigonometric Ratios & IdentitiesEasyMCQ

JEE Main 2020 — Trigonometric Ratios & Identities Question with Solution

JEE Main 2020 (02 Sep Shift 2)

Question

If the equation cos4θ+sin4θ+λ=0 has real solutions for θ then λ lies in interval

Choose an option

Show full solutionCorrect option: B
Correct answer
B-1,-12

Step-by-step explanation

-λ=sin4θ+cos4θ

=sin2θ+cos2θ2-2sin2θcos2θ

=1-4sin2θcos2θ2

=1-sin22θ2

⇒λ=sin22θ2-1

λ∈-1,-12

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About this question

This is a previous-year question from JEE Main 2020, covering the Trigonometric Ratios & Identities chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.