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Using the method of integration, find th...

Using the method of integration, find the smaller area enclosed by the circle `x^(2)+y^(2)=4` and the line x+y=2.

A

`2(pi-2)`

B

`pi-2`

C

2pi-1

D

`2(pi+2)`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  4. Area lying between the curves y^(2) = 4x and y = 2x is

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  9. The area of the region bound by Y-axis, y = cos x and y = sin x, 0lexl...

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  10. Find the area bounded by the curve x^(2)=4y and the line x=4y-2.

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  11. The area of the region bounded by the curve y=sqrt(16-x^2) and x -axis...

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  13. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

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  14. The area of the region bounded by parabola y^(2) = x and the line 2y =...

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  15. The area of the region bounded by the curve y=sin x between the ordina...

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  16. Area of the region bounded by the curve y=x+1 and the lines x=2 and x ...

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  17. The area of the region bounded by the curve x = 2y+3 and the y-lines ...

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  18. int(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx=

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  19. int(pi//4)^(pi//2)cot x dx=

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  20. int0^(1/2) (dx)/(sqrt(1-x^(2))) =

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