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10th
-
11th
grade

Mathematics

57%

accuracy

7

plays

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4 years

Mathematics

10th -

11thgrade

Complex Numbers

user

7
plays

6 questions

6 questions

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1. Multiple Choice
5 minutes
1 pt
Find the complex number z which satisfies equation
$2i-z=5+i\left(3-2i\right)$
$z=\frac{12}{5}-\frac{11}{5}i$
$z=-3+30i$
$z=-7-i$
$z=2+3i$
2. Multiple Choice
5 minutes
1 pt
$x^2+2x+2=0$

Solve the equation for x
$\left\{-1-i,\ -1+i\right\}$
$\left\{1-i,\ 1+i\right\}$
$\left\{-2-i,\ -2+i\right\}$
$\left\{-1-i,\ 1-i\right\}$
3. Multiple Choice
45 seconds
1 pt
Choose the conjugate of the following complex number

$\sqrt{3}-1-i$
$3+i$
$\sqrt{2}+i$
$\sqrt{3}+1+i$
$\sqrt{3}-1+i$
4. Multiple Choice
5 minutes
1 pt
Evaluate the expression:

$\left(1-2i\right)^2+\left(1+2i\right)^2=$
-6i
-6+i
-6
6+6i
5. Multiple Choice
2 minutes
1 pt
Find modulus of z:

$z=1+3i$
$\sqrt{10}$
$9-i$
$\sqrt{7}$
$4$
6. Multiple Choice
5 minutes
1 pt
Find modulus of z:

$z=\frac{1}{\sqrt{3}-i}$

$1$
$-1$
$\frac{1}{2}$
$\frac{\sqrt{3}}{3}$
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