Complex Numbers

IMPORTANT

Mathematics Solutions from Chapter -1 - Complex Numbers

This chapter covers topics such as Algebraic Equations in Complex Numbers, Algebra of Complex Numbers, Geometry of Complex Numbers, Representation of Complex Numbers, Roots of Unity, Modulus and Argument of Complex numbers, and Triangle Inequality.

Practice Other Topics from Complex Numbers

Mathematics>Algebra>Complex Numbers>Basics of Complex Numbers

This topic covers concepts such as Complex Numbers, Basics of Complex Numbers, Complex Number System, Imaginary Unit iota, Power of ' i ', Square root of a Negative Real Number, Real and Imaginary Parts of a Complex Number, etc.

Mathematics>Algebra>Complex Numbers>Representation of Complex Numbers

This topic covers concepts such as Argand Plane, Representation of a Complex Number, Algebraic Form of a Complex Number, Cartesian Form of a Complex Number, Polar Form of a Complex Number, and Euler Form of a Complex Number.

Mathematics>Algebra>Complex Numbers>Modulus and Argument of Complex numbers

This topic covers concepts such as Modulus of a Complex Number, Argument of a Complex Number, Principle Argument of a Complex Number, General Argument of a Complex Number, Properties of Modulus of a Complex Number, etc.

Mathematics>Algebra>Complex Numbers>Algebra of Complex Numbers

The topic covers concepts such as Equality of Two Complex Numbers, Finding Square Root of a Complex Number, Ordered Relation between Two Complex Numbers, Algebraic Operations on Complex Numbers, Addition of Two Complex Numbers in Algebraic Form, etc.

Mathematics>Algebra>Complex Numbers>Triangle Inequality

This topic covers concepts such as Triangular Inequalities for Sum of Two Sides in Complex Plane and Triangular Inequalities for Difference of Two Sides in Complex Plane.

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

This topic covers concepts such as De Moivre's Theorem, De Moivre's Theorem when n is an Integer, De Moivre's Theorem when n is a Fractional Number, Finding Roots of a Complex Equation Using De Moivre's Theorem, etc.

This topic covers concepts such as Cube Roots of Unity, Nth Roots of Unity and Common Roots of Complex Equations.

Mathematics>Algebra>Complex Numbers>Algebraic Equations in Complex Numbers

This topic covers concepts such as Solving Algebraic Equations (with Fixed Coefficients) Involving Complex Numbers, Solving Algebraic Equations (with Variable Coefficients) Involving Complex Numbers, etc.

Mathematics>Algebra>Complex Numbers>Geometry of Complex Numbers

This topic covers concepts such as Basic Geometrical Concepts of Complex Number Plane, Distance Formula in Complex Plane, Section Formula in Complex Plane, Ray Formula in Complex Plane, Rotation of Complex Number in Complex Plane, etc.