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The area bounded by y=sqrt(a^(2)-x^(2)),...

The area bounded by `y=sqrt(a^(2)-x^(2)),x+y=0` and Y-axis is

A

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

B

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

C

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

D

`pa^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-AREAS-PRACTICE EXERCISE
  1. The smaller area of the region cut off by x+y=2 from the circle x^(2)+...

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  2. The area bounded by the circle x^(2)+y^(2)=16, and the ordinates x = 0...

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  3. The area bounded by y=sqrt(a^(2)-x^(2)),x+y=0 and Y-axis is

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  4. The area bounded by semi circle y=sqrt(4-x^(2)) and its diameter y = 0...

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  5. The smaller area between the ellipse (x^(2))/(9)+(y^(2))/(16)=1 at the...

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  6. The area of one arc of y=sinx+cosx is

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  7. The area of the region between y=cos x and y=sin 2x in 0le x le (pi)/(...

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  8. The area between the curves y=tanx,y=cotx and X-axis in 0le x le (pi)/...

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  9. The area of the region bounded by the x-axis and the curves y=tanx(-(p...

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  10. The area of the smaller region bounded by y=cos x, x+y=1 and y = 0 is

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  11. The area between the curve y=cosx and Y-axis from y = 0 to y = 1 is

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  12. The area encosed between the curves y=log(e)(x+e),y=e^(x) and the X-ax...

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

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  14. The finite area of the region formed by co-ordinate axes and the curve...

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  15. The area bounded by y=1-|x| and X-axis is

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

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  17. The area bounded by y=|x-1|,y=0 and |x|=2 is

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  18. The area bounded by by y=cosx,y=0,|x|=1 is

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  19. The area bounded by y=x-[x] and the ordinates x = 1, x = 2 is

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  20. The area (in square units) of the region bounded by the curves 2x=y^(2...

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