The area of the region described by x- y- x2 - y2- 1 and y2- 1 - x is

The correct option is C π2 + 43 ...

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Definition of Relations

The area of t...

Question

The area of the region described by ${(x, y) / x^{2} + y^{2} \leq 1 a n d y^{2} \leq 1 - x}$ is

\frac{π}{2} - \frac{2}{3}

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\frac{π}{2} + \frac{2}{3}

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\frac{π}{2} + \frac{4}{3}

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\frac{π}{2} - \frac{4}{3}

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A = {(x, y) : x^{2} + y^{2} \leq 1 and y^{2} \leq 1 - x}

The area (in sq. units) of the region ${(x, y) : y^{2} \geq 2 x a n d x^{2} + y^{2} \leq 4 x, x \geq 0, y \geq 0}$ is :

{(x, y) : \frac{2}{1 + x^{2}} \geq y \geq x^{2}}

y^{2} = x

x^{2} + y^{2} = 2 x

y = x^{2}

y = \frac{2}{1 + x^{2}}

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