JEE Main 2021MathematicsFunctionsEasyMCQ

JEE Main 2021 — Functions Question with Solution

JEE Main 2021 (26 Aug Shift 2)

Question

The domain of the function cosec-11+xx is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A-12,∞-{0}

Step-by-step explanation

Domain of cosec-1x is x≤-1 or x≥1 

1+xx≤-1 or 1+xx≥1

1+x+xx≤0 or 1+x-xx≥0

2x+1x≤0 or 1x≥0

x∈-12,0 or x∈(0,∞)

x∈-12,∞-{0}

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About this question

This is a previous-year question from JEE Main 2021, covering the Functions 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.