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Q.

The area bounded by $y = \sqrt{a^{2} - x^{2}}$ , x+y=0 and Y–axis is

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a

$\frac{{πa}^{2}}{8}$

b

${πa}^{2}$

c

$\frac{{πa}^{2}}{4}$

d

$\frac{{πa}^{2}}{2}$

answer is C.

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Detailed Solution

Area= $a r e a o f s e c t o r = \frac{1}{2} (a^{2}) (\frac{π}{4}) = \frac{{πa}^{2}}{8}$

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The area bounded by y=a2-x2, x+y=0 and Y–axis is