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The area of the circle x^2 +y^2 =16...

The area of the circle `x^2 +y^2 =16 ` exterior to the parabola `y^2 = 6x ` is …..

A

`4/3 ( 4 pi - sqrt(3))`

B

`4/3 ( 4 pi + sqrt(3))`

C

`4/3 ( 8 pi - sqrt(3))`

D

`4/3 ( 8 pi + sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-MISCELLANEOUS EXERCISE -8
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  2. Find the area under the given curves and given lines : y=x^2 ...

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  3. Find the area between the curves y = x and y = x^(2).

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  4. Find the area of the region lying in the first quadrant and bo...

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  5. Sketch the graph of y= |x+3| and evaluate int(-6)^(0) | x +3| ...

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  6. Find the area bounded by the curve y = sin x between x=0 a...

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  7. Find the area enclosed between the parabola y^2 = 4 ax and the lin...

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  8. Find the area enclosed by the parabola 4y = 3x^2 and the line ...

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  9. Find the area of the smaller region bounded by the ellipse (...

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  10. Find the area of the smaller region bounded by the ellipse x^(2)/a^(2)...

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  11. Find the area of the region enclosed by the parabola x^(2) = y, the li...

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  12. Using the method of integration find the area bounded by the curve |x|...

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  13. Find the area bounded by curves {(x, y) : y ge x^(2) "and" y = |x|}.

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  14. Using the method of integration find the area of the triangle ABC, coo...

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  15. Using the method of integration find the area of the region bo...

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  16. Find the area of the regaion enclosed by {(x,y):y^2 le 4x ,4x^2 +...

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  17. Area bounded by the curve y=x^3 the x-axis and the ordinates ...

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  18. The area bounded by the curve y=x |x| , X -axis and the ordina...

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  19. The area of the circle x^2 +y^2 =16 exterior to the parabola ...

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  20. The area bounded by the Y-axis , y= cos x and y= sin x when 0 ...

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