Curriculum
Login

Curriculum

Mathematics

Unit 1

0/12

Unit 2

0/14

Unit 3

0/13

Unit 4

0/8

Unit 5

0/12

Unit 6

0/8

Unit 7

0/10
Quiz

Lesson 1: Complex Numbers in Trigonometric and Exponential Form and De Moivres Theorem — Picture questions (exam style)

Submit quiz
Once you submit, you will no longer be able to change your answers. Are you sure you want to submit the quiz?
Cancel Submit
  • Questions count: 18
  • Passing grade: 60%
Start Quiz
1.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 4, |z4| = 1
least n making zn real = 8, |z4| = 2
least n making zn real = 3, |z4| = 4
least n making zn real = 8, |z4| = 1
2.
What is the real part of z2?
What is the real part of z^2?
12
-6
10.39
6
3.
What is the sum of the roots shown?
What is the sum of the roots shown?
12
1
0
64
4.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 10, |z5| = 11.31
least n making zn real = 10, |z5| = 8
least n making zn real = 4, |z5| = 5.657
least n making zn real = 5, |z5| = 5.657
5.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 5, |z6| = 6
least n making zn real = 5, |z6| = 1
least n making zn real = 6, |z6| = 2
least n making zn real = 6, |z6| = 1
6.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 9, |z6| = 64
least n making zn real = 12, |z6| = 128
least n making zn real = 6, |z6| = 64
least n making zn real = 5, |z6| = 128
7.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 24, |z12| = 90.51
least n making zn real = 11, |z12| = 16.97
least n making zn real = 12, |z12| = 90.51
least n making zn real = 12, |z12| = 64
8.
What is the sum of the roots shown?
What is the sum of the roots shown?
9
27
1
0
9.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 1, |z2| = 2
least n making zn real = 2, |z2| = 1
least n making zn real = 2, |z2| = 2
least n making zn real = 4, |z2| = 1
10.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 4, |z4| = 2
least n making zn real = 8, |z4| = 4
least n making zn real = 4, |z4| = 1
least n making zn real = 8, |z4| = 1
11.
What is the sum of the roots shown?
What is the sum of the roots shown?
16
0
8.706
1
12.
What is the real part of z6?
What is the real part of z^6?
27
1
0
0.5
13.
What is the sum of the roots shown?
What is the sum of the roots shown?
1
27
0
10.39
14.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 12, |z6| = 11.31
least n making zn real = 6, |z6| = 8
least n making zn real = 9, |z6| = 8
least n making zn real = 6, |z6| = 8.485
15.
z is shown on the Argand diagram. Which option is correct?
z is shown on the Argand diagram. Which option is correct?
least n making zn real = 4, |z4| = 16
least n making zn real = 7, |z4| = 32
least n making zn real = 3, |z4| = 16
least n making zn real = 8, |z4| = 32
16.
What is the sum of the roots shown?
What is the sum of the roots shown?
27
1
0
9.666
17.
What is the real part of z2?
What is the real part of z^2?
0
8
-8
1
18.
What is the real part of z3?
What is the real part of z^3?
22.63
-22.63
0
39.37
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18