Concepts in complex numbers

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Mathematics

9th - 12th Grade

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20 questions

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MULTIPLE CHOICE QUESTION

45 sec • 2 pts

If Z=2+j7, what is the magnitude of z?

9.45

7.28

3.14

5.67

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

z₁ = 2 and z₂ = i. What is the value of |z₁+z₂|?

√2

√3

√5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the argument of the complex number (1 + √3i)?

3π/2

π/4

π/3

2π/3

MULTIPLE CHOICE QUESTION

1 min • 2 pts

The magnitude (modulus) of the complex number 6-j8 is:

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the distance from point A to (0,0) in the complex graph.

$\sqrt{34}$

$\sqrt{8}$

$\sqrt{2}$

$\sqrt{-2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The argument of complex number $-i\ =$

$0$

$\frac{\pi}{2}$

$\pi$

$\frac{-\pi}{2}$

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

For z = $1\ +\ \sqrt{3}i$ , what is the argument?

(a)

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Choose all that apply. Find $\left|6+8i\right|$

$\sqrt{\left(6\right)^2-\left(8i\right)^2}$

$\sqrt{\left(6\right)^2+\left(8\right)^2}$

10i

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Argument of complex number $-1\ -\ i\ =$

$\frac{\pi}{4}$

$\frac{-\pi}{4}$

$\frac{3\pi}{4}$

$\frac{-3\pi}{4}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the argument, $\theta\$ for $z=-1-i$

$-2.3562$

$2.3562$

$0.7854$

$-0.7854$

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Concepts in complex numbers

If Z=2+j7, what is the magnitude of z?

z1 = 2 and z2 = i. What is the value of |z1+z2|?

What is the argument of the complex number (1 + √3i)?

The magnitude (modulus) of the complex number 6-j8 is:

What is the distance from point A to (0,0) in the complex graph.

The argument of complex number −i =-i\ =−i =

For z = 1 + 3i1\ +\ \sqrt{3}i1 + 3​i , what is the argument? (a)

Choose all that apply. Find ∣6+8i∣\left|6+8i\right|∣6+8i∣

Argument of complex number −1 − i =-1\ -\ i\ =−1 − i =

Find the argument, θ \theta\ θ for z=−1−iz=-1-iz=−1−i

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z₁ = 2 and z₂ = i. What is the value of |z₁+z₂|?

The argument of complex number $-i\ =$

For z = $1\ +\ \sqrt{3}i$ , what is the argument?

(a)

Choose all that apply. Find $\left|6+8i\right|$

Argument of complex number $-1\ -\ i\ =$

Find the argument, $\theta\$ for $z=-1-i$