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Find the area of the region bounded by p...

Find the area of the region bounded by parabola `y^2=2x+1\ ` and the line `x-y-1=0.`

A

`2//3`

B

`4//3`

C

`8//3`

D

`16//3`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS ENGLISH-AREA OF BOUNDED REGIONS-Exercise For Session 2
  1. Find the area of the region bounded by parabola y^2=2x+1\ and the lin...

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  2. Find the area bounded by the curve y=2x-x^(2), and the line y=x

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

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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. Find the area (in sq. unit) bounded by the curves : y = e^(x), y = e^(...

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  6. Area of the region bounded by the curve y^2=4x , y-axis and the line y...

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  7. The area of the region bounded by y=sinx, y=cosx in the first quadrant...

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

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

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  10. Find the area bounded by the y-axis, y=cosx ,and y=sinx when 0lt=xlt=p...

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  11. The area bounded by the curvesy=-x^(2)+2 and y=2|x|-x is

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  12. The are bounded by the curve y^2 = 4x and the circle x^2+y^2-2x-3=0 is

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  13. A point P moves inside a triangle formed by A(0,0),B(1,sqrt(3)),C(2,0)...

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  14. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then t...

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  15. The area of the region defined by | |x|-|y| | le1 and x^(2)+y^(2)le1 i...

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  16. The area of the region defined by 1 le |x-2|+|y+1| le 2 is (a) 2 (b) 4...

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  17. The area of the region enclosed by the curve |y|=-(1-|x|)^2+5, is

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  18. The area bounded by the curve f(x)=||tanx+cotx|-|tanx-cotx|| between t...

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  19. If f(x) = max {sin x, cos x,1/2}, then the area of the region bounded ...

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