Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

Area bounded by the curve $|x|+|y|=1$ is:

Options:

$\frac{1}{2}$

2

4

$\frac{1}{4}$

Correct Answer:

2

Explanation:

The correct answer is Option (2) - 2

$|x|+|y|=1$

area I = area II = area III = area IV By symmetry

area = 4 × area I

$4×\frac{1}{2}×1×1$

= 2 sq. units