JEE Main 2026 — Inverse Trigonometric Functions Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let the maximum value of for be , where . Then is equal to .
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Show full solutionCorrect answer: 65
Correct answer
65
Step-by-step explanation
Let and . Using :
This equals , which is minimized at .
For , we have .
Distance from to vertex: . Distance from to vertex: 0.
Maximum occurs at where :
Since , we have , so
This equals , which is minimized at .
For , we have .
Distance from to vertex: . Distance from to vertex: 0.
Maximum occurs at where :
Since , we have , so
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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.