CUET Preparation Today
CUET
-- Mathematics - Section A
Application of Integrals
Find the area bounded by ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$.
$πab$
$πa^2$
$πb^2$
$\frac{1}{2}(πab)$
Required Area = 4 × shaded area = $4\int_0^ab\sqrt{1-\frac{x^2}{a^2}};=πab$
