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$4\text{a}+\text{b}\tan^{-1}\frac{\text{a}}{\text{b}}$