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Given 2 sin theta=(1-2x+5x^(2))/(3x^(2)-...

Given `2 sin theta=(1-2x+5x^(2))/(3x^(2)-2x-1)`, the real values of `theta in [(-pi)/2, (pi)/2]` satisfying the lie in the interval

A

`[(-pi)/2, (pi)/2]`

B

`[(3pi)/10,(pi)/2]`

C

`[(-pi)/2,(-pi)/2]uu[(3pi)/10,(pi)/10]`

D

all above

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Given 2 sin theta = (1 - 2 x + 5 x^(2))/( 3x^(2) - 2 x - 1) , the real values of theta in [(-pi)/(2),(pi)/(2)] satisfying this lie in the interval

    A
    `[-(pi)/(2),(pi)/(2)]`
    B
    `[(3 pi)/(10), (pi)/(2)]`
    C
    `[(-pi)/(2), (-pi)/(10)] cup [(3 pi)/(10), (pi)/(10)]`
    D
    all above
  • If theta in [pi/2, (3pi)/2]" then "Sin^(-1)(sintheta)=

    A
    `theta`
    B
    `pi-theta`
    C
    `2pi-theta`
    D
    `-pi+theta`
  • The number of values of y in [-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is

    A
    3
    B
    4
    C
    5
    D
    6
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