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If a and b are two real number lying bet...

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 an equilateral triangle , then (A) `a=2+sqrt(3)` (B) `b=4-sqrt(3)` (C) `a=b=2-sqrt(3)` (D) `a=2,b=sqrt(3)`

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