QJEEM21Mae2e9: JEE Main 2021 Mathematics - Class 12 JEEM21Mae2e9 Solution: The area (in sq. units) of the region bounded by the curves x 2 …

Question

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The area (in sq. units) of the region bounded by the curves x² + 2y

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1 = 0, y² + 4x

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4 = 0 and y²

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4x

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4 = 0, in the upper half plane is _______________.

Accepted Answer

Required area (shaded)

= 2 [\int_{0}^{2} (\frac{4 - y^{2}}{4}) d y - \int_{0}^{1} (\frac{1 - x^{2}}{2}) d x]

= 2 [\frac{4}{3} - \frac{1}{3}] = (2)

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