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`a` and `b` are real numbers between 0 and 1 such that the points `z_1 =a+ i`, `z_2=1+ bi`, `z_3= 0` form an equilateral triangle, then `a` and `b` are equal to

A

`a=sqrt(3)-1,b=sqrt(3)/2`

B

`a=2-sqrt(3),b=2-sqrt(3)`

C

`a=1//2,b=3//4`

D

none of these

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The correct Answer is:
B
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