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The area bounded by the curves y=3x-x^(...

The area bounded by the curves `y=3x-x^(2)andy=x^(2)-x` is

A

`(1)/(3)`

B

`(8)/(3)`

C

`(1)/(2)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-AREAS-EXERCISE - II
  1. The area of the region between x-y+2=0 and the curve x=sqrt(y), Y-axis...

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

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  3. The area bounded by the curves y=3x-x^(2)andy=x^(2)-x is

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  4. The area bounded by the curves x=y^(2) and x=3-2y^(2) is

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  5. The area of the region bounded by the curves y=9x^(2)andy=5x^(2)+4 (in...

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  6. The area bounded by the parabola y=4x^(2),y=(x^(2))/(9) and the line y...

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  7. The area of the region bounded by the curves y=x^(2)andy=(2)/(1+x^(2))...

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  8. If x=a(gt0) divides the area bounded by X-axis, part of the curve y=1+...

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  9. The area in the first quadrant enclosed by the axes, the line x=y sqrt...

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  10. The area of the region between the curve x^(2)+y^(2)=4 and x=0,x=1 is

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  11. The area (in square units) of the region enclosed by the two circles x...

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  12. The area in square unit bounded by the curves y=x^(3),y=x^(2) and the ...

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  13. The area of the region enclosed by the curves y=x^(2) and y=x^(3) is

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  14. The area of the region bounded by the curve sqrtx+sqrty=sqrta(x,ygt0) ...

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  15. The area bounded by the curve x^(2//3)+y^(2//3)=a^(2//3) and vec(OX),v...

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  16. Let AOB be the positive quadrant of the ellipse (x^(2))/(a^(2))+(y^(2)...

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  17. The area between the curve xy=a^(2),x=a,x=4a and X-axis is

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  18. The area bounded by the curve xy^(2)=1 and the lines x = 1, x = 2 is

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

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

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