If the complex numbers \( z_{1}=a+i, z_{2}=1+i b, z_{3}=0 \) form the vertices of equilateral tr...
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1If the complex numbers \( z_{1}=a+i, z_{2}=1+i b, z_{3}=0 \) form the vertices of equilateral triangle \( (a, b \) are real numbers between 0 and 1 ), then
(A) \( a=\sqrt{3}-1, b=\frac{\sqrt{3}}{2} \)
(B) \( a=2-\sqrt{3}, b=2-\sqrt{3} \)
(C) \( a=1 / 2, \quad b=3 / 4 \)
(D) none of these
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