JEE Main 2026 — Functions Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let be a function such that , . Let the maximum value of on be . If the area of the region bounded by the curves and , , is , then is equal to _______.
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Show full solutionCorrect answer: 16
Correct answer
16
Step-by-step explanation
Given
Replacing with , we get:
Multiplying this equation by and subtracting the first equation gives:
The maximum value of is .
Thus, .
The points of intersection of the curves and are given by:
The area of the region bounded by the curves is:
Given that the area is , we have:
Therefore, .
Answer:
Replacing with , we get:
Multiplying this equation by and subtracting the first equation gives:
The maximum value of is .
Thus, .
The points of intersection of the curves and are given by:
The area of the region bounded by the curves is:
Given that the area is , we have:
Therefore, .
Answer:
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This is a previous-year question from JEE Main 2026, 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.