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Find the area included between the parab...

Find the area included between the parabola `y =x^2/(4a)` and the curve `y=(8 a^3)/(x^2 + 4 a^2)`.

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-COMPETITIVE THINKING
  1. Find the area bounded by the parabola y^2 = 4ax and the line y = 2ax.

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  2. Area lying between the curves y^(2)=2x and y=x is

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  3. The area of the region bounded by the curves x=y^(2)-2 and x=y is

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  4. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

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  5. Find the ratio in which the area bounded by the curves y^2=12 xa n dx^...

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  6. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

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  7. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

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  8. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

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  9. The area of the region bounded by the curve y =x^3, its tangent at (1,...

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  10. The area (in sq. units) enclosed between the curves y=x^(2) " and " y...

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  11. Area of the region bounded by y=|x| and y=-|x|+2 is

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  12. The area of the region bounded by the curves y= abs(x-1) and y = 3 -ab...

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  13. The area bounded by curve y=x^(2), y=2/((1+x^(2))) in square units is

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  14. Find the area included between the parabola y =x^2/(4a) and the curve ...

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  15. The area of the region {(x,y):x^(2)+y^(2) le 1 le x+y} , is

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

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  17. Area above the X-axis, bounded by the circle x^(2)+y^(2)-2ax=0 and the...

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  18. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

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  19. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

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  20. The area enclosed (in square units) by the curve y=x^(4)-x^(2), the X-...

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