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GUJCET · Maths · Application of Integrals
Area enclosed by ellipse \(2 x^2+3 y^2=1\) is __________ sq. units.
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{\sqrt{6}}\)
- C \(6 \pi\)
- D \(\sqrt{6} \pi\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{\sqrt{6}}\)
Step-by-step Solution
Detailed explanation
\(\frac{x^2}{1/2} + \frac{y^2}{1/3} = 1\) \(a = \frac{1}{\sqrt{2}}, b = \frac{1}{\sqrt{3}}\)
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