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Application of Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Integrals1 Mark
MCQ
The area common to the ellipse $\frac{\text{x}^2}{\text{a}^2}+\frac{\text{y}^2}{\text{b}^2}=1$ and $\frac{\text{x}^2}{\text{b}^2}+\frac{\text{y}^2}{\text{a}^2}=1,0<\text{b}<\text{a}$ is:
  • A
    $(\text{a}+\text{b})^2\tan^{-1}\frac{\text{b}}{\text{a}}$
  • B
    $(\text{a}+\text{b})^2\tan^{-1}\frac{\text{a}}{\text{b}}$
  • ✓
    $4\text{a}+\text{b}\tan^{-1}\frac{\text{b}}{\text{a}}$
  • D
    $4\text{a}+\text{b}\tan^{-1}\frac{\text{a}}{\text{b}}$
✓

Answer

Correct option: C.
$4\text{a}+\text{b}\tan^{-1}\frac{\text{b}}{\text{a}}$

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