Chapter 1
Complex Numbers I: Cartesian Form0/40 complete Β· 0%
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Complex Numbers I: Cartesian Form

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Chapter 1 Β· Algebra
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EasyMediumDifficult
1.Complex Numbers
Easy
Adding and subtracting
5 marks
Adding and subtracting
5 marks
Complex Numbers I: Cartesian Form question 1: Adding and subtracting
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2.Complex Numbers
Easy
Multiplying
6 marks
Multiplying
6 marks
Complex Numbers I: Cartesian Form question 2: Multiplying
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3.Complex Numbers
Easy
Dividing using the conjugate
5 marks
Dividing using the conjugate
5 marks
Complex Numbers I: Cartesian Form question 3: Dividing using the conjugate
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4.Complex Numbers
Easy
Points on an Argand diagram
5 marks
Points on an Argand diagram
5 marks
Complex Numbers I: Cartesian Form question 4: Points on an Argand diagram
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5.Complex Numbers
Easy
Modulus as a distance
5 marks
Modulus as a distance
5 marks
Complex Numbers I: Cartesian Form question 5: Modulus as a distance
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6.Complex Numbers
Easy
Powers of i
5 marks
Powers of i
5 marks
Complex Numbers I: Cartesian Form question 6: Powers of i
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7.Complex Numbers
Easy
A quadratic with complex roots
6 marks
A quadratic with complex roots
6 marks
Complex Numbers I: Cartesian Form question 7: A quadratic with complex roots
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8.Complex Numbers
Easy
Equal complex numbers
5 marks
Equal complex numbers
5 marks
Complex Numbers I: Cartesian Form question 8: Equal complex numbers
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9.Complex Numbers
Easy
Real and imaginary parts
5 marks
Real and imaginary parts
5 marks
Complex Numbers I: Cartesian Form question 9: Real and imaginary parts
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10.Complex Numbers
Easy
Conjugates
5 marks
Conjugates
5 marks
Complex Numbers I: Cartesian Form question 10: Conjugates
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11.Complex Numbers
Easy
Plotting and quadrants
6 marks
Plotting and quadrants
6 marks
Complex Numbers I: Cartesian Form question 11: Plotting and quadrants
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12.Complex Numbers
Easy
Car suspension vibrations
5 marks
Car suspension vibrations
5 marks
Complex Numbers I: Cartesian Form question 12: Car suspension vibrations
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13.Complex Numbers
Easy
An equation with a conjugate
6 marks
An equation with a conjugate
6 marks
Complex Numbers I: Cartesian Form question 13: An equation with a conjugate
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14.Complex Numbers
Easy
A root with real coefficients
7 marks
A root with real coefficients
7 marks
Complex Numbers I: Cartesian Form question 14: A root with real coefficients
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15.Complex Numbers
Medium
A cubic equation
7 marks
A cubic equation
7 marks
Complex Numbers I: Cartesian Form question 15: A cubic equation
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16.Complex Numbers
Medium
A square root
7 marks
A square root
7 marks
Complex Numbers I: Cartesian Form question 16: A square root
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17.Complex Numbers
Medium
Powers of 1 + i
8 marks
Powers of 1 + i
8 marks
Complex Numbers I: Cartesian Form question 17: Powers of 1 + i
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18.Complex Numbers
Medium
Rotating with i
7 marks
Rotating with i
7 marks
Complex Numbers I: Cartesian Form question 18: Rotating with i
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19.Complex Numbers
Medium
Impedance in a series circuit
7 marks
Impedance in a series circuit
7 marks
Complex Numbers I: Cartesian Form question 19: Impedance in a series circuit
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20.Complex Numbers
Medium
Reflecting a logo
9 marks
Reflecting a logo
9 marks
Complex Numbers I: Cartesian Form question 20: Reflecting a logo
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21.Complex Numbers
Medium
Two generators combined
7 marks
Two generators combined
7 marks
Complex Numbers I: Cartesian Form question 21: Two generators combined
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22.Complex Numbers
Medium
A collision in a video game
7 marks
A collision in a video game
7 marks
Complex Numbers I: Cartesian Form question 22: A collision in a video game
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23.Complex Numbers
Medium
Multiplying by 1 + i
7 marks
Multiplying by 1 + i
7 marks
Complex Numbers I: Cartesian Form question 23: Multiplying by 1 + i
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24.Complex Numbers
Medium
Solving a linear equation
6 marks
Solving a linear equation
6 marks
Complex Numbers I: Cartesian Form question 24: Solving a linear equation
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25.Complex Numbers
Medium
Purely imaginary
7 marks
Purely imaginary
7 marks
Complex Numbers I: Cartesian Form question 25: Purely imaginary
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26.Complex Numbers
Medium
A buoy on three ocean swells
15 marks
A buoy on three ocean swells
15 marks
Complex Numbers I: Cartesian Form question 26: A buoy on three ocean swells
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27.Complex Numbers
Medium
Two overlapping light waves
14 marks
Two overlapping light waves
14 marks
Complex Numbers I: Cartesian Form question 27: Two overlapping light waves
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28.Complex Numbers
Difficult
A quartic with complex roots
12 marks
A quartic with complex roots
12 marks
Complex Numbers I: Cartesian Form question 28: A quartic with complex roots
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29.Complex Numbers
Difficult
A circular region
13 marks
A circular region
13 marks
Complex Numbers I: Cartesian Form question 29: A circular region
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30.Complex Numbers
Difficult
Locating a phone
13 marks
Locating a phone
13 marks
Complex Numbers I: Cartesian Form question 30: Locating a phone
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31.Complex Numbers
Difficult
The Mandelbrot set
13 marks
The Mandelbrot set
13 marks
Complex Numbers I: Cartesian Form question 31: The Mandelbrot set
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32.Complex Numbers
Difficult
A robot arm
14 marks
A robot arm
14 marks
Complex Numbers I: Cartesian Form question 32: A robot arm
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33.Complex Numbers
Difficult
Simultaneous complex equations
11 marks
Simultaneous complex equations
11 marks
Complex Numbers I: Cartesian Form question 33: Simultaneous complex equations
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34.Complex Numbers
Difficult
A family of quadratics
12 marks
A family of quadratics
12 marks
Complex Numbers I: Cartesian Form question 34: A family of quadratics
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35.Complex Numbers
Difficult
Complex power
11 marks
Complex power
11 marks
Complex Numbers I: Cartesian Form question 35: Complex power
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36.Complex Numbers
Difficult
Complex numbers as matrices
17 marks
Complex numbers as matrices
17 marks
Complex Numbers I: Cartesian Form question 36: Complex numbers as matrices
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37.Complex Numbers
Difficult
A ship passing a lighthouse
16 marks
A ship passing a lighthouse
16 marks
Complex Numbers I: Cartesian Form question 37: A ship passing a lighthouse
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38.Complex Numbers
Difficult
A fractal that settles down
15 marks
A fractal that settles down
15 marks
Complex Numbers I: Cartesian Form question 38: A fractal that settles down
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39.Complex Numbers
Difficult
A particle in the complex plane
14 marks
A particle in the complex plane
14 marks
Complex Numbers I: Cartesian Form question 39: A particle in the complex plane
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40.Complex Numbers
Difficult
An even quartic
15 marks
An even quartic
15 marks
Complex Numbers I: Cartesian Form question 40: An even quartic
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