Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

Find the area bounded by ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$.

Options:

$πab$

$πa^2$

$πb^2$

$\frac{1}{2}(πab)$

Correct Answer:

$πab$

Explanation:

Required Area = 4 × shaded area = $4\int_0^ab\sqrt{1-\frac{x^2}{a^2}};=πab$