Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

The ratio of the areas between the curves = cos x and y = cos 2x and x-axis from x = 0 to x = $\frac{\pi}{3}$ is

Options:

1 : 3

2 : 1

$\sqrt{3}$ : 1

None of these

Correct Answer:

2 : 1

Explanation:

$A_1=\int\limits_0^{\pi / 3} \cos x d x=\frac{\sqrt{3}}{2}$

$A_2=\int\limits_0^{\pi / 2} \cos 2 x d x=\frac{\sqrt{3}}{4}$

∴ $\frac{A_1}{A_2}=\frac{2}{1}$

Hence (2) is the correct answer.