Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area enclosed by the curve $x=8 \cos t, y=4 \sin t$ between the lines $x=0$ and $x=4 \sqrt{3}$ is:

Options:

$8 \sqrt{2}+\frac{32 \pi}{3}$ units

$4 \sqrt{3}+\frac{16 \pi}{3}$ units

$8 \sqrt{3}+\frac{32 \pi}{3}$ units

$32 \pi$ units

Correct Answer:

$8 \sqrt{3}+\frac{32 \pi}{3}$ units

Explanation:

The correct answer is Option (3) - $8 \sqrt{3}+\frac{32 \pi}{3}$ units