JEE Main Maths · Application of Integrals

Ratio of Divided Areas

Ratio of Divided Areas (Application of Integrals) was asked 2 times in 2 JEE Main shifts, 2022–2024, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2022–2024
Usual format: Numerical value; Multi-step
Pattern: Occasional; repeats across shifts

How it is asked

Area of smaller part cut from circle
Ratio of areas split by curve

Difficulty

Easy 0Medium 1Hard 1

Where it sits

Chapter: Application of Integrals. Topic: Area Under Curves, 41 questions over 15 ideas.

All 2 questions

Newest first, each with its options and official answer.

9 Apr 2024, Shift 1 · Q9The parabola $y^2=4x$ divides the area of the circle $x^2+y^2=5$ in two parts. The area of the smaller part is equal to :MediumSingle correct
24 Jun 2022, Shift 1 · Q29Let S be the region bounded by the curves $y=x^3$ and $y^2=x$ . The curve $y=2|x|$ divides S into two regions of areas $R_1$ and $R_2$ . If…HardNumerical value