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The area induced between the curves y=(x...

The area induced between the curves `y=(x^2)/(4a)` and `y=(8a^3)/(x^2+4a^2)` is given by

A

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

B

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

C

`a^(2)(2pi +(1)/(3))`

D

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

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Exercise
  1. The area of the region bounded by the curve (a^4)(y^2)=(2a-x)(x^5) is ...

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  2. The area between x^2/a^2+y^2/b^2=1 and the straight line x/a+y/b=1 is ...

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  3. The area induced between the curves y=(x^2)/(4a) and y=(8a^3)/(x^2+4a^...

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  4. The area cut off from a parabola by any double ordinate is k time th...

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  5. Find the area of the region bounded by the curve y = sin x between x =...

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  6. about to only mathematics

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  7. The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

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  8. Smaller area enclosed by the circle x^2+y^2=4 and the line x + y = 2 ...

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  9. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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  10. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

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  11. Find the area lying in the first quadrant and bounded by the curve y=x...

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  12. The area of the region (in square units) bounded by the curve x^2=4y a...

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  13. The area bounded by the x-axis and the curve y = 4x - y^(2) - 3 id

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  14. Find the area of the region enclosed by the parabola y^2=4a x\ a n d t...

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  15. The area bounded by y = tan x, y = cot x, X-axis in 0 lt=x lt= pi/2 is

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  16. Area lying between the curves y^2=4x and y = 2x is:

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  17. Area common to the circle x^2+y^2=64 and the parabola y^2=4x is

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

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  19. Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2...

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  20. The area bounded by y = x |sinx| and x - axis between x = 0, x = 2pi i...

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