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Application of Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Integrals1 Mark
MCQ
Area bounded by the ellipse $\frac{x^2}{4}+\frac{y^2}{9}=1$ is
  • ✓
    $6 \pi$ sq. units
  • B
    $3 \pi$ sq. units
  • C
    $12 \pi$ sq. units
  • D
    None of these
✓

Answer

Correct option: A.
$6 \pi$ sq. units
(a) : Here $a^2=4$ and $b^2=9$.
Since, area of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is $\pi a b$ sq. units.
$\therefore \quad$ Required area $=\pi \times 2 \times 3=6 \pi$ sq. units.

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