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The area bounded by the curve y=x|x|, x-...

The area bounded by the curve `y=x|x|`, x-axis and the ordinates x=1,x=-1 is given by

A

0

B

`1//3`

C

`2//3`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-AREAS OF BOUNDED REGIONS-Exercise
  1. Find the area bounded by the curve y=2x-x^2 and the straight line y=-x

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  2. The area of the region bounded by y = |x - 1| and y = 1 is

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  3. The area bounded by the curve y=x|x|, x-axis and the ordinates x=1,x=-...

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  4. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

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  5. Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)...

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  6. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

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  7. The area of the region lying between the line x-y+2=0 and the curve x=...

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  8. The area cut off from a parabola by any double ordinate is k time th...

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  9. Area between the curve y=4+3x-x^(2) and x-axis in square units , is

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  10. If A is the area between the curve y=sin x and x-axis in the interval...

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  11. If A is the area lying between the curve y=sin x and x-axis between x...

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  12. The area of the loop between the curve y=asinx and x-axis is (A) a (B)...

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  13. Area (in square units) of the region bounded by the curve y^(2)=4x,y...

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  14. If A1 is the area of the parabola y^2=4 ax lying between vertex and th...

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  15. The area of the region bounded by y=sinx, y=cosx and x-axis in the fir...

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  16. The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is...

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  17. The value of k for which the area of the figure bounded by the curve y...

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  18. The figure into which the curve y^2 = 6x divides the circle x^2 + y^2 ...

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  19. What is the area bounded by the curves y=e^x ,y =e ^-x and the straig...

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  20. The area bounded by the y-axis, y=cos x and y=sin x, 0 le x le pi//4, ...

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