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The area bounded by the curve y = 2x - x...

The area bounded by the curve `y = 2x - x^(2)` and the line y = - x is

A

`2/3`

B

`9/2`

C

`1/2`

D

9

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Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-EVALUATION TEST
  1. The area bounded by the curve y=abs(x), X axis and the lines x=-pi " a...

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  2. Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...

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  3. Using integration find area of the region bounded by the curves y=sqrt...

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  4. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

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  5. Find the area of the region formed by x^2+y^2-6x-4y+12 le 0. y le x an...

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  6. The area bounded by the curve y = 2x - x^(2) and the line y = - x is

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  7. The area bounded by y=cosx, y=0 and abs(x)=1 is given by

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  8. The area bounded by the curves y = cos x and y = sin x between the ord...

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  9. The area of the region bounded by the parabola y = x^(2) + 2 and the l...

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  10. The area bounded by the curve x=2-y-y^(2) and Y-axis is

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  11. The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the...

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  12. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

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  13. The area of the closed figure bounded by x=-1, y=0, y=x^(2)+x+1, and t...

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  14. The area of the region bounded by the curves x^(2)+4y^(2)=4 " and " 4y...

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  15. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  16. The area bounded by y = sin^(-1)x,x=(1)/(sqrt(2)) and X-axis is

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  17. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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  18. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

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