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GUJCET · Maths · Application of Integrals
Area of the region bounded by ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) is \(\frac{\pi}{6}\) sq. units then, Equation of ellipse is _________ .
- A \(\frac{x^2}{4}+\frac{y^2}{9}=1\)
- B \(\frac{x^2}{36}+y^2=1\)
- C \(4 x^2+9 y^2=1\)
- D \(x^2+y^2=36\)
Answer & Solution
Correct Answer
(C) \(4 x^2+9 y^2=1\)
Step-by-step Solution
Detailed explanation
Area \(=\pi ab\) \(\pi ab = \frac{\pi}{6}\)
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