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If the function f : [a, b] to [ - (sqrt3...

If the function `f : [a, b] to [ - (sqrt3)/(4) ,1/2]` defined by
`f(x) = |{:(1, 1, 1), (1, 1 + sin x , 1), (1+cos x, 1 , 1):}|`
is one - one and onto , then

A

`a = (-pi)/(4) ,b = pi/6`

B

`a = (-pi)/(2) , b = pi/2`

C

`a = (-pi)/(6) , b= pi/4`

D

`a = - pi , b = pi`

Text Solution

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The correct Answer is:
A
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