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The parabolas y^(2)=4x,x^(2)=4y divide t...

The parabolas `y^(2)=4x,x^(2)=4y` divide the square region bounded by the lines x = 4, y = 4 and the co-ordinate axes. If `S_(1),S_(2),S_(3)` are respectively the areas of these parts numbered from top to bottom then `S_(1):S_(2):S_(3)` is

A

`2:1:1`

B

`1:1:1`

C

`1:2:1`

D

`1:2:3`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-AREAS-EXERCISE - II
  1. The area bounded by the curve xy^(2)=1 and the lines x = 1, x = 2 is

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  2. The area bounded by the parabolas y^(2)=4a(x+a) and y^(2)-4a(x-a) is

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  3. The parabolas y^(2)=4x,x^(2)=4y divide the square region bounded by th...

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  4. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

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  5. The ratio of the areas bounded by y=cosx,y=cos2x between x=0 and x=pi/...

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  6. The line x=(pi)/(4) divides the area of the region bounded by y=sinx,y...

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  7. Find the area bounded by y=sinx and y=cosx between any two consecuti...

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  8. The ratio of the areas bounded by y=cosx,y=cos2x between x=0 and x=pi/...

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  9. The area bounded by y=sinx and 2x=pi y is

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  10. The area bounded by y=cosx,y=x+1,y=0 is

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  11. The area between the curves y=tanx,y=cotx and X-axis in (pi)/(6)le x l...

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  12. The area bounded by y=e^(x), Y-axis and the line y = e is

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  13. Area of the region bounded by y=e^(x),y=e^(-x) and the line x=1 is

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  14. The area of the region bounded by y=2^(x),y=2x-x^(2) and x = 0, x = 2 ...

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  15. The area bounded by y=log(e)x, X-axis and the ordinate x = e is

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  16. The area enclosed between the curve y=log(e)(x+e) and the co-ordinate ...

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  17. Find the area of the region bounded by the lines y=|x-1| and y=3-|x|

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  18. The area of the region bounded by the curves y=|x-2|,x=1,x=3 and the x...

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  19. The area enclosed between the curves y^(2)=x and y=|x| is

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  20. The area bounded by the curve y=|4-x^(2)| and X-axis is

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