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The area of the region bounded bwtwe...

The area of the region bounded bwtween the curve `y=2^x and y=2x-x^2` and the lines x=0 , x=2 is ……….Sq. units

A

`4/3 - (1)/( log 2)`

B

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

C

`(4)/( log 2) -1`

D

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

Text Solution

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The correct Answer is:
D
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KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( MULTIPLE CHOICE QUESTIONS)
  1. The area of the region bounded by the curve y = log x, y = log...

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  2. The area of the quadrilateral formed by the tangents drawn at ex...

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  3. The area of the region bounded bwtween the curve y=2^x and y=...

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  4. f(x) = min { x+1 , sqrt((1-x))} the area of the region bounded by ...

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  5. The area of the region bounded by the curves y=2 -|2-x| and y= ...

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  6. The area of the region bounded by the curves y= xe^x , y= xe^(-...

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

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  8. The area of the region enclosed by the curves |x+y-1| + |2x +y...

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  9. The area of the region bounded by the curve y= cos x,y = sin x...

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  10. The area of the region enclosed by the curve y= |sin x| X- axis ...

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  11. The area of the region bounded by the lines y=|x| , X- axis and |...

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  12. The area of the reagion bounded by the curve y=[x] and the lines ...

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  13. If A ={(x,y} ,x^2 +y^2 le 1 and y^2 le 1 -x} then the area of A is...

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  14. The area of the region bounded by {(x,y) : y^2 ge 2x and x^2 +...

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  15. The area of region bounded by { (x,y) : x ge 0, x+y le 3, x^2 ...

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  16. Area bounded by curve y= tan pi x , x in [-1/4 ,1/4] and X-axis is...

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  17. If the area of the region bounded by two curves y=x^2 and y=x^3 ...

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  18. Area bounded by the ellipse (x^2 )/(4) +(y^2)/(16) =4 is …….

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  19. Let x^k +y^k =a^k (a,k gt 0) and (dy)/(dx) +((y)/(x))^(1/3) =0 then...

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  20. Let the function f: [-7,9] to R be continuous on [-7,0] and di...

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