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Area common to the circle x^(2)+y^(2)=9...

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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
d
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NIKITA PUBLICATION-APPLICATION OF DEFINITE INTEGRAL-MULTIPLE CHOICE QUESTIONS:(MCQ)
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  2. The area of the plane region bounded by the curves x + 2y^(2)=0 and x+...

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  3. Find the area enclosed between first quadrant of a circle x^2 + y^2 = ...

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  4. Find the area enclosed between the circle x ^ 2 + y ^ 2 = 1...

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  5. Using integration, find the area of the region common to the circle x^...

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  6. The area lying above the X-axis and included between the circle x^(2) ...

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  7. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

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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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  11. Find the area of the circle x^2+y^2=16 which is exterior to the parabo...

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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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  14. The area of the region bounded by the lines y=2x+1y=3x+1 and x=4 is

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  15. The area of Delta ABC whose vertices are A (2,5), B (4,7) and C(6,2) i...

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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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  17. Using integration, find the area of the triangle ABC whose vertices ar...

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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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  20. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

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