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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

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Which of the following is the possible value/values of c for which the area of the figure bounded by the curves y=sin 2x , the straight lines x=pi//6, x=c and the abscissa axis is equal to 1/2?

    A
    `-(pi)/(6)`
    B
    `(pi)/(3)`
    C
    `(pi)/(6)`
    D
    none of these

  • The area of the region bounded by the curve x^(2)=4y and the straight line x=4y-2 is

    A
    `3/8"sq units"`
    B
    `5/8" sq unit "`
    C
    `7/8 " sq unit"`
    D
    `9/8" sq units"`

  • The value of c for which the area of the figure bounded by the curve y=8x^(2)-x^(5) , the straight lines x= 1 and x=c and the x-axis is equal to 16//3 is

    A
    2
    B
    `sqrt(8-sqrt(17))`
    C
    3
    D
    none

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