Let $z$ be complex number such that $\left|\frac{z-i}{z+2 i}\right|=1$ and $|z|=\frac{5}{2} \cdot$ Then the value of $|z+3 i|$ is
Let $z$ be complex number such that $\left|\frac{z-i}{z+2 i}\right|=1$ and $|z|=\frac{5}{2} \cdot$ Then the value of $|z+3 i|$ is
- [JEE MAIN 2020]
- A
$\sqrt{10}$
- B
$2 \sqrt{3}$
- C
$\frac{7}{2}$
- D
$\frac{15}{4}$
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