JEE Main 2026 — Inverse Trigonometric Functions Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
If the domain of the function is the interval , then is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A3
Step-by-step explanation
For : gives or .
For : .
Lower bound always satisfied (discriminant ).
Upper bound gives , so .
Intersection of both conditions: .
Thus , .
.
For : .
Lower bound always satisfied (discriminant ).
Upper bound gives , so .
Intersection of both conditions: .
Thus , .
.
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This is a previous-year question from JEE Main 2026, covering the Inverse Trigonometric 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.