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 :
$\sqrt{10}$
$2 \sqrt{3}$
$\frac{7}{2}$
$\frac{15}{4}$
Correct Option: , 3
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