Complex Numbers

IMPORTANT

Mathematics Solutions from Chapter -1 - Complex Numbers

This chapter covers topics, such as Basics of Complex Numbers, Roots of Unity, Properties of Conjugate, Modulus and Argument of Complex Numbers, Algebra of Complex Numbers, Geometry of Complex Numbers and De Moivre's Theorem.

Practice Other Topics from Complex Numbers

Mathematics>Algebra>Complex Numbers>Basics of Complex Numbers

This topic covers concepts, such as Purely Real and Purely Imaginary Complex Numbers, General Argument of a Complex Number, Cartesian Form of a Complex Number, Complex Number System, Conjugate of a Complex Number in Vector Form, etc.

Mathematics>Algebra>Complex Numbers>Algebra of Complex Numbers

This topic covers concepts, such as Multiplicative Inverse of Complex Numbers, Subtraction of Two Complex Numbers in Polar Form, Closure Property of Sum of Complex Numbers, Multiplication of Two Complex Numbers in Euler Form, etc.

Mathematics>Algebra>Complex Numbers>Properties of Conjugate, Modulus and Argument of Complex Numbers

This topic covers concepts, such as Properties of Argument of a Complex Number, Modulus of Sum of Two Complex Numbers, Triangular Inequalities for Sum of Two Sides in Complex Plane, Argument of Difference of Two Complex Numbers, etc.

Mathematics>Algebra>Complex Numbers>De Moivre's Theorem

This topic covers concepts, such as De Moivre's Theorem when N is an Integer, Finding Roots of a Complex Equation Using De Moivre's Theorem, De Moivre's Theorem, Solving Algebraic Equations Involving Complex Numbers Using De Moivre's Theorem, etc.

This topic covers concepts, such as Cube Roots of Unity, Finding Roots of a Complex Equation Using Nth Roots of Unity and Nth Roots of Unity.

Mathematics>Algebra>Complex Numbers>Geometry of Complex Numbers

This topic covers concepts, such as Rotation of Complex Number in Complex Plane, Condition for Square in Complex Plane, Section Formula in Complex Plane, Geometrical Interpretation of iz, wz, w2z on Complex Plane, etc.