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The value of a for which the area of the...

The value of a for which the area of the region bounded by the curve `y = sin 2x`, the straight lines `x = pi//6, x = a` and x-axis is equal to 1/2 is-

A

`pi//2`

B

`pi//3`

C

`4//3`

D

`pi//6`

Text Solution

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The correct Answer is:
B
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MOTION-AREA UNDER THE CURVE-EXERCISE - 2 (LEVEL-I)
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  2. The area between the curves y = 6 – x – x^(2) and x-axis is-

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  3. The area of the region bounded by the curves y = | x – 2 l, x = 1, x =...

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  4. The area bounded by the parabola x^(2) = 4y, the x-axis and the line x...

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  5. The area between the curve y^(2) = 4x , y - axis and y = -1 and y = 3 ...

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  6. The area bonunded by the curve y = sin2x, axis and y=1, is

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  7. The area between the curve y = sec x and y-axis when 1le y le 2 is-

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  8. If the area bounded by the x-axis, the curve y=f(x), (f(x)gt0)" and th...

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  9. The area bounded by the curves 1y = x(1 – nx) , x = e^(–1) and positi...

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  10. Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs in...

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  11. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

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  12. The area of the region bounded by the curves y= abs(x-1) and y = 3 -ab...

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  13. Aea of the region nclosed between the curves x=y^2-1 and x=|y|sqrt(1-y...

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  14. Area enclosed by the curves y= "lnx" , y = lnabs(x),y= abs(lnx)and y =...

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  15. Let y = g(x) be the inverse of a bijective mapping f : R rarr R f(x) =...

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  16. The value of a(agt0) for which the area bounded by the curves y=(x)/(6...

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  17. If the tangent to the curve y = 1 – x^(2) at x = alpha, where 0 lt alp...

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  18. Let 'a' be a positive constant number. Consider two curves C1: y=e^x...

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  19. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

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  20. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

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