If \( \mathrm{a} \) and \( \mathrm{b} \) are real numbers between 0...

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If \( \mathrm{a} \) and \( \mathrm{b} \) are real numbers between 0 and 1 such that the points \( z_{1}=a+i, z_{2}=1+b i \) and \( z_{3}=0 \) form an
\( \mathrm{P} \) equilateral triangle, then \( a=\ldots \) and \( b= \) (1990, 2M)
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