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What's on the worksheet
- Re Im A B C D E F 0 The figure shows six complex numbers A to F.
- Find each modulus exactly.|-8 + 15i||\sqrt{5} - 2i|\left|\dfrac{3}{5} + \dfrac{4}{5}i\right||-2\sqrt{2} - 2\sqrt{2}\,i||4 - 6i|
- Show that the triangle with corners z_1 = -3 + 3i, z_2 = -8 + 8i and z_3 = -2 + 6i is a right triangle, name the corner where the right angle is,…
- The number z = a + bi lies in quadrant I.
- A circle in the complex plane has center 3 - 2i and passes through 7 + i.
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The free lesson teaches it with worked examples and practice problems.
The complex plane, modulus and argument: the lesson ›More Chapter 9 worksheets: Polar coordinates and complex numbers in polar form
- 9.1Adding, subtracting and multiplying complex numbers
- 9.2Plotting polar points
- 9.3Converting between polar and rectangular
- 9.4Converting an equation between the two systems
- 9.5Polar circles and symmetry tests
- 9.6Limacons and cardioids
- 9.7Rose curves
- 9.8The complex plane, modulus and argument
- 9.9Modulus, argument and polar form
- 9.10Multiplying, powers and De Moivre's theorem
- 9.11Roots of a complex number and roots of unity