JEE Main 2026 — Area Under Curves Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
Let be the bounded area enclosed by the curves and -axis that lies in the first quadrant. Let be the bounded area enclosed by the curves , and -axis that lies in the first quadrant. Then is equal to
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
For : intersection of and at
For : bounded by , (i.e., ), , and -axis.
In first quadrant, goes from (0,0) to (2,).
The parabola passes through (0,2) and (2,6).
For : bounded by , (i.e., ), , and -axis.
In first quadrant, goes from (0,0) to (2,).
The parabola passes through (0,2) and (2,6).
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Area Under Curves 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 Area Under Curves 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.