MathsJEE Main 5 Apr 2026, Shift 1·Q16·MCQ·Moderate

Area under Curves · Area between curves

The area of the region

R = \{(x, y) : xy \le 27,\ 1 \le y \le x^2,\ x \ge 0\}

is equal to:

(1) $78\log_e 3 - \dfrac{52}{3}$
(2) $54\log_e 3 - \dfrac{52}{3}$
(3) $54\log_e 3 - \dfrac{26}{3}$
(4) $54\log_e 3 + \dfrac{26}{3}$

We corrected a printing error in the original paper

Assumption “ $x \ge 0$ ” added to the region; the source leaves it unstated (for $x \le -1$ every point with $1 \le y \le x^2$ satisfies $xy \le 27$ , so the region as printed has infinite area).

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

See the full 5 Apr 2026, Shift 1 paper

Area under Curves · Area between curves

More on Area between curves