Question

Consider the two complex numbers $z$ and $w$ such that $w=\frac{z-1}{z+2}=a+b i$, where $a, b \in R$.
Which of the following equals $|z|$ ?

• A. $|w|$
• B. $(a+1)^2+b^2$
• C. $a^2+(b+2)^2$
• D. $( a +1)^2+( b +1)^2$

Answer 1

Answer: (B)

Correct answer is (b) $(a+1)^2+b^2$