JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

Let

z

be a complex number such that

\left| {\frac{{z - i}}{{z + 2i}}} \right| = 1

and

\left| z \right| = \frac{5}{2}.

Then the value of

\left| {z + 3i} \right|

View answer and explanation

Correct option: B

\frac{7}{2}

Option B (7/2) is correct because, after finding the locus of z and using the given modulus condition, we can determine |z + 3i| = 7/2.

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\alpha, \beta

\gamma

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