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Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^...

Let ` 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0` ( x is measured in radian ) . Then 'x' lies in the interval .

A

`((pi)/(6),(5pi)/(6))`

B

`(-1,(5pi)/(6))`

C

`(-1,2)`

D

`((pi)/(6),2)`

Text Solution

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The correct Answer is:
D
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