Consider the two complex numbers \( z \) and \( w \), such that
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Consider the two complex numbers \( z \) and \( w \), such that
\( \mathrm{P} \) \( w=\frac{z-1}{z+2}=a+i b \), where \( a, b \in R \) and \( i=\sqrt{-1} \).
W
Which of the following equals to \( |z| \) ?
(a) \( |w| \)
(b) \( (a+1)^{2}+b^{2} \)
(c) \( a^{2}+(b+2)^{2} \)
(d) \( (a+1)^{2}+(b+1)^{2} \)
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