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The sides of a triangle are sin beta, co...

The sides of a triangle are `sin beta, cos beta and sqrt(1+a sin 2 beta)`, for some `a gt 0, 0 lt beta lt (pi)/(2)`. If the greatest angle of this triangle is `120^(@)`, then a equals

A

1

B

`3//2`

C

`2//3`

D

`1//2`

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The correct Answer is:
d
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