Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The area of region bounded by the curve $y=cos x $ and x-axis between $x=0$ and $x= \pi $ is

Options:

1 sq.unit

2 sq.unit

3 sq.unit

4 sq.unit

Correct Answer:

2 sq.unit

Explanation:

The correct answer is Option (2) → 2 sq.unit

By symmetry

Area of Region I = Area of Region II

Area = 2 × Area(Region I)

so $2×\int\limits_{0}^{π/2}\cos xdx=2[\sin x]_{0}^{π/2}$

= 2 sq. unit