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find the area common to the circle x^2y^...

find the area common to the circle `x^2y^2=16 a^2` and the parabola `y^2=6a xdot` Or Find the area of the region `{(x , y): y^2lt=6a\ }a n d{(x , y): x^2+y^2geq16 a^2}dot`

A

`(4a^(2))/(3)(4pi-sqrt(3))`

B

`(4a^(2))/(3)(8pi-3)`

C

`(4a^(2))/(3)(4pi+sqrt(3))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Chapter Test
  1. Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s ...

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  2. The area of the loop of the curve ay^(2)=x^(2)(a-x) is

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  3. find the area common to the circle x^2y^2=16 a^2 and the parabola y^2=...

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  4. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

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  5. The area between the curve y=xsin x and x-axis where o le x le 2 pi ,...

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  6. The area bounded by the curves y=e^(x),y=e^(-x) and y=2, is

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  7. The area enclosed by the curves x=a sin^(3)t and y= a cos^(2)t is equa...

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  8. If A(1) is the area enclosed by the curve xy=1, x-axis and the ordinat...

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  9. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

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  10. The value of a for which the area between the curves y^(2) = 4ax and x...

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  11. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

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  12. The area bounded by the curve y = sin2x, axis and y=1, is

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  13. The area between the curve x=-2y^(2)and x=1-3y^(2), is

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  14. The area between the curves y=cosx, x-axis and the line y=x+1, is

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  15. If the area bounded by the curve y=x^2+1 and the tangents to it drawn ...

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  16. The positive value of the parmeter 'a' for which the area of the figur...

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  17. The area in square units bounded by the curves y=x^(3),y=x^(2) and the...

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  18. The area bounded by the curve y^(2)=x and the ordinate x=36 is divided...

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  19. The area contained between the x-axis and one area of the curve y=cos ...

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  20. The area of the figure bounded by |y|=1-x^(2) is in square units,

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