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  4. Area bounded by the ellipse 2 x2+3 y2=1 is

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Q. Area bounded by the ellipse $2 x^{2}+3 y^{2}=1$ is _______

Gujarat CETGujarat CET 2019

Solution:

$A=\pi \cdot a \cdot b=\pi \cdot \frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{3}}=\frac{\pi}{\sqrt{6}}$