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Topics
Complex Numbers
What is a Complex Number?
Operations with Negative Surds
Addition and Subtraction of Complex Numbers
Multiplication of Complex Numbers
Powers of i
Complex Conjugates
Complex Numbers and 4 Operations
Complex Equations
Graphing Complex Numbers - Rectangular Form
Complex Moduli
Polar Form
Multiplication of Numbers in Polar Form
Powers of Complex Numbers in Polar Form
Conversion and Simplification involving Polar form
Convert between Polar and Rectangular Equations
Graph Polar Equations
Distance between and Midpoints of
Quadratic Solutions
Factorising and Expanding Complex Numbers
Rays and Lines in the Complex Plane
Square roots of Complex Numbers
Complex Roots of Unity
Lesson
Solving Equations with Complex Solutions
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India
Class XI

Complex Roots of Unity

Lesson
Lesson

Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

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