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If f(x) = max {sin x, cos x,1/2}, then t...

If `f(x) = max {sin x, cos x,1/2},` then the area of the region bounded by the curves `y =f(x),` x-axis, Y-axis and `x=(5pi)/3` is

A

`(sqrt(2)-sqrt(3)+(5pi)/(12))`sq units

B

`(sqrt(2)+sqrt(3)/2+(5pi)/(2))`sq units

C

`(sqrt(2)+sqrt(3)+(5pi)/(2))`sq units

D

None of these

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The correct Answer is:
B
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ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise For Session 2
  1. The area of the region bounded by y^2 = 2x + 1 and x - y -1=0 is

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  2. The area of the region bounded by the curve y = 2x - x^2 and the line ...

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

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  6. Area (in square units) of the region bounded by the curve y^(2)=4x,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=x e^x ,y=x e^(-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 ,a n dy=sinxw h e n0lt=xlt...

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  11. The area bounded by the curve y=3/|x| and y+|2-x|=2 is

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

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

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

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

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  16. The aera of the region defined by ||x|-|y||le1 and x^(2)+y^(2)le1 in t...

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

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

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

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

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