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If a and b are two real number lying between 0 and 1 such that `z_1=a+i, z_2=1+bi and z_3=0` form anequilateral trilangle , then (A) `a=2+sqrt(3)` (B) `b=4-sqrt(3)` (C) `a=b=2-sqrt(3)` (D) `a=2,b=sqrt(3)`

A

`a=b=2+sqrt3`

B

`a= b = 2 - sqrt3`

C

`a=b = -2 + sqrt3`

D

`a= b= -2 - sqrt3`

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The correct Answer is:
B
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