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The area bounded by the parabola y^2 = x...

The area bounded by the parabola `y^2 = x`, straight line `y = 4` and y-axis is

A

`16sqrt3`

B

`(16)/(3)`

C

`(64)/(3)`

D

none of these

Text Solution

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The correct Answer is:
C
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FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. The area of the smaller portion of the circle x^2+y^2=4 cut off the l...

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  2. The area of the region bounded by y = |x - 1| and y = 1 is

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  3. The area bounded by the parabola y^2 = x, straight line y = 4 and y-ax...

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  4. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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  5. The solution of the differential equation ((dy)/(dx))^(2)-x((dy)/(dx))...

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  6. The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,wher...

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  7. If y=x/(In|cx|) (where c is an arbitrary constant) is the general solu...

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  8. I .F. for y in y dx/dy + x - ln y=0 is

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  9. Which of the following is a differential equation of the family of cur...

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  10. Which of the following transformations reduce the differential equatio...

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  11. Solution of differential equation (dy)/(dx)=sin(x+y)+cos(x+y) is

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  12. y=ae^(-(1)/(x))+b is a solution of (dy)/(dx)=(y)/(x^(2)) when

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  13. Let f(x)=(2x-pi)^3+2x-cosx ,"T h e n ,"d/(dx)[f^(- 1)(x)] at x=pi is ...

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  14. If X and Y are two sets, then X nn (Y uu X)^(c ) equals

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  15. If the sets A and B are defined are defined as A={(x,y):y=e^x, x in R}...

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  16. Set A and B have 4 and 6 elements respectively. The maximum number of ...

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  17. Let A={a, b, d, e}=B={c, d, f, m}, C={a, l, m, o}. Then C nn(Auu B) wi...

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  18. Let n(U) = 700, n(A) = 200, n(B) = 300 and n(AuuB) = 400. Then n(A^c u...

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  19. A-B is equal to

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  20. If the sets A and B are defined are defined as A={(x,y):y=e^x, x in R}...

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