JEE Main 2026 — Definite Integration Question with Solution
JEE Main 2026 (06 April Shift 2)
Question
Let be a singular matrix. Let , . If and are respectively the maximum and the minimum values of in , then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Since is a singular matrix, .
The function is
Differentiating with respect to , we get for all .
Thus, is a strictly increasing function on the interval .
The maximum value occurs at :
The minimum value occurs at :
We need to find :
Answer:
The function is
Differentiating with respect to , we get for all .
Thus, is a strictly increasing function on the interval .
The maximum value occurs at :
The minimum value occurs at :
We need to find :
Answer:
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2026, covering the Definite Integration 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.