Let z be complex number such that $\left| {{{z - i} \over {z + 2i}}} \right| = 1$ and |z| = ${5 \over 2}$. Then the value of |z + 3i| is :

Question

Let z be complex number such that
$\left| {{{z - i} \over {z + 2i}}} \right| = 1$ and |z| = ${5 \over 2}$.
Then the value of |z + 3i| is :

$2\sqrt 3 $

$\sqrt {10} $

${{15} \over 4}$

${7 \over 2}$

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