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Let z be complex number such that

Question:

Let $z$ be complex number such that $\left|\frac{z-i}{z+2 i}\right|=1$

and $|z|=\frac{5}{2}$. Then the value of $|z+3 i|$ is :

1. $\sqrt{10}$

2. $2 \sqrt{3}$

3. $\frac{7}{2}$

4. $\frac{15}{4}$

Correct Option: , 3

Solution: