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The area of the region bounded by y=2^(x...

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

A

`(3)/(log 2)+(4)/(3)`

B

`(3)/(log2)-(4)/(3)`

C

`(3)/(log2)`

D

`3log2-(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-AREAS-EXERCISE - II
  1. The area bounded by y=e^(x), Y-axis and the line y = e is

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

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

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

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

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

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

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

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

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

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

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

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  13. The area of the region {(x,y)//x^(2)+y^(2)le1le x+y} is

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  14. The area of the region R={(x,y)//x^(2)le y le x} is

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  15. If the regions A and B are given by A={(x,y)// : y gt x}B={(x,y):y lt ...

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  16. The area of the region bounded by a^(2)y^(2)=x^(2)(a^(2)-x^(2)) is

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  17. Let A(1) be the area of the parabola y^(2)=4ax lying between vertex an...

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  18. The area of the figure bounded by the curves y^(2)=2x+1andx-y-1=0 is

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  19. Statement-I: The sine and cosine curves intersect infinitely many tmes...

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  20. Statement-I: The area bounded by x=2 cos theta,y=3sin theta is 36pi sq...

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