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Find the area of the region {(x,y):y^2<=...

Find the area of the region `{(x,y):y^2<=4x, 4x^2+4y^2<=9}`

A

`1/(3 sqrt 2) + (9pi)/8 - 9/4 sin ^(-1) (1/3) sq. units`

B

`1/(3 sqrt 2) + (9pi)/4 - 9/4 sin ^(-1) (1/3) sq. units`

C

`1/(3 sqrt 2) + (3pi)/8 - 3/4 sin ^(-1) (1/3) sq. units`

D

`1/(3 sqrt 2) + (3pi)/4 - 3/4 sin ^(-1) (1/3) sq. units`

Text Solution

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The correct Answer is:
a
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  8. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

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  9. Find the area of the region {(x,y):y^2<=4x, 4x^2+4y^2<=9}

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  10. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

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  12. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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  13. The area bounded by the curves x^(2) + y^(2) = 25, 4y = | 4 - x^(2) | ...

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  16. The area of Delta ABC with vertices A (2,1), B(3,4) and C (0.5) is

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  18. The area of the region enclosed by the curves y = sin x and y = cos x ...

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  19. The area of the region bounded by the curves y = exlog x and y = logx...

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