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4-1.Complex numbers question bank (Mathematics)

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Q1.

Let $z$ be a complex number with $\operatorname{Im}(z)=10$ and satisfying $\frac{2z-n}{2z+n}=2i-1$, where $i=\sqrt{-1}$, for some natural number $n$. Then:

(A)

$n=20$ and $\operatorname{Re}(z)=10$

(B)

$n=20$ and $\operatorname{Re}(z)=-10$

(C)

$n=40$ and $\operatorname{Re}(z)=10$

(D)

$n=40$ and $\operatorname{Re}(z)=-10$

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Q2.

If $x = 1 + 2i$,then the value of $x^3 + 7x^2 - x + 16$ is

(A)

$-17 - 24i$

(B)

$-17 + 24i$

(C)

$17 - 24i$

(D)

$17 + 24i$

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