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Complex Numbers question

2020 · 9 Jan · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2020 · 9 Jan · Shift 1 · Q26

Complex Numbers question

2020 · 9 Jan · Shift 1 · Q26

JEE MainMathematicsComplex NumbersMCQ+4 / −1

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 :

A
$2\sqrt 3$
B
$\sqrt {10}$
C
${{15} \over 4}$
D
${7 \over 2}$

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