Engineer & Medical

Complex Number question bank (Maths)

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Q1.

The number of values of $z \in \mathbb{C}$, satisfying the equations $|z-(4+8i)|=\sqrt{10}$ and $|z-(3+5i)|+|z-(5+11i)|=4\sqrt{5}$, is:

(A)

$0$

(B)

$2$

(C)

$1$

(D)

$4$

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Q2.

Let $S = \{z \in \mathbb{C} : z^2 + \sqrt{6}\,iz - 3 = 0\}$. Then $\sum\limits_{z \in S} z^8$ is equal to :

(A)

$162$

(B)

$184$

(C)

$262$

(D)

$324$

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