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Complex Number question bank (Maths)

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Q1.

Let $z \in C$ be such that $\frac{z^2+3 i}{z-2+i}=2+3 i$. Then the sum of all possible values of $z^2$ is

(A)

$19-2 \mathrm{i}$

(B)

$-19-2 \mathrm{i}$

(C)

$19+2 i$

(D)

$-19+2 i$

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Q2.

Let $\left|z_1-8-2 i\right| \leq 1$ and $\left|z_2-2+6 i\right| \leq 2, z_1, z_2 \in \mathbf{C}$. Then the minimum value of $\left|z_1-z_2\right|$ is :

(A)

(B)

(C)

(D)

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