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The line x=(pi)/(4) divides the area of ...

The line `x=(pi)/(4)` divides the area of the region bounded by `y=sinx,y=cosx` and x-axis `(0ltxlt(pi)/(2))` into two regions of areas `A_(1)andA_(2)`. Then `A_(1):A_(2)`

A

`4:1`

B

`3:1`

C

`2:1`

D

`1:1`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-AREAS-EXERCISE - II
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  3. The line x=(pi)/(4) divides the area of the region bounded by y=sinx,y...

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

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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 area bounded by y=sinx and 2x=pi y is

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

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

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

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

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

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

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

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

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

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

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

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  18. The area bounded by the curve y=x|x|, X-axis and the ordinates x=+-1 i...

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  19. The area bounded by y=|sinx|, X-axis and the lines |x|=pi is

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  20. Area of the region bounded by y=|5sinx| from x=0 to x=4pi and x-axis i...

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