Mathematics · 2020
JEE Main · 9 January 2020, Shift 1 · Q53
Let z be a complex number such that |(z-i)/(z+2 i)|=1 and |z|=5/2. Then the value of |z+3 i| is:
Let $\displaystyle z$ be a complex number such that
$$\left|\frac{z-i}{z+2 i}\right|=1
$$
and $\displaystyle |z|=\frac{5}{2}$. Then the value of $\displaystyle |z+3 i|$ is :
Official answer
(3)
$\displaystyle \frac{7}{2}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.