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f(x) = max { sin x, cos x, 1/2} the ar...

`f(x) = max { sin x, cos x, 1/2}` the area of the region bounded by the curve ` y= f(x) ,` X-axis Y-axis and x=`2pi` is ……..Sq. units

A

`((5pi)/(12)+3)`

B

`((5pi)/(12) +sqrt(2))`

C

`((5pi)/(12) + sqrt(3))`

D

`((5pi)/(12) + sqrt(2) + sqrt(3))`

Text Solution

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The correct Answer is:
D
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KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( MULTIPLE CHOICE QUESTIONS)
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  2. f(x) = {{:(x^2,"," x le 0),( x,"," x ge 0):} the area of the regio...

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

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  4. f(x) = x^2 -3x +2 AA x in R the area of the region bounde...

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  5. The area of the region enclosed by the curve y=f(|x|) , x - axis...

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  6. The area of the reagion bounded by the curve y=|f(|X|) |, X- axis...

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  7. |f(|x|)=a| has six real roots then …

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  8. The number of solution of |y| = |f (|x|)| and x^2 +y^2 =2 is ……….

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  9. The area of the region bounded by the curve y=x^4 - 2x^3 +x^2 +3...

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  10. The area of the region enclosed by {(x,y) : x^2 +y^2 le 1 le x+...

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  11. The area of the region bounded by the parabola y= x^2 +1 and the ...

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  12. The area of the region bounded by the lines y=1 - |x| and X-a...

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  13. The area of the region bounded by the curve x= cos^(-1) y and ...

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  14. The area of the region bounded by the curve y= e^x , x=a and ...

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  15. The area of the region bounded by the curve y= tan theta , x ...

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  16. The area of the region bounded by the curve y^2= 4 ax and y=...

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  17. If the area of the region bounded by the curve y= f(x) , X - ...

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  18. The area of region bounded by the curve y= |x-1| and y=1 i...

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  19. The area between the parabolas y^2 = 4ax and x^2 = 8ay is …… Sq....

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  20. The area between the parabolas y^2 = 4x and x^2 =4y divide the...

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