Home Maths Definite Integral and Area Under Curves General The area of the region {(x, y) : x 2 ≤ y ≤ |…
Maths Definite Integral and Area Under Curves General Single Correct MCQ
Published on: August 14, 2026

The area of the region {(x, y) : x 2 ≤ y ≤ |x|} is -

A
1/3 sq. units
B
1/2 sq. units
C
1/4 sq. units
D
None of these

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Verified by Experts
The correct answer is:
A

Hence, the required region R is the shaded region shown in figure. Since both the curves are symmetrical about y-axis. So, required area = 2(Shaded area in first quadrant)

= 2 sq. units.

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