03 Sep
Introduction of this Course

Syllabus walk through

preparation tips

05 Sep
Basic about complex number

Imaginary unit

complex number and their representation

Real and Imaginary part of complex number

06 Sep
Components of Complex Number

Modulus of complex

conjugate of complex number

equality of two complex number

08 Sep
Operation on Complex Number

Operation on Complex Number

properties of operations

additive inverse

multiplicative inverse

10 Sep
Problem discussion

Some problems on basic complex

geometrical representation of complex number

12 Sep
Arguments of Complex number

principal arguments

different types of complex numbers

Arguments related problems

13 Sep
Euler's theorem

Euler's theorem

polar form of complex number

Geometrical meaning of conjugate of complex number

properties of conjugate

15 Sep
Properties of Modulus of complex number

properties of modulus of a complex number

related examples

related problems discussion

related problems discussion

17 Sep
Argument properties

properties of argument of a complex number

problems based on properties of modulus and arguments

suitable examples

19 Sep
Demoivre's Theorem 1

Demoivre's Theorem 1 and problems based on this concept.

related problems discussion

20 Sep
Demoivre's theorem 2

Demoivre's theorem 2

standard problems related to this theorem

22 Sep
Question Bank solution

Discuss Question asked in various exams AIEEE and IIT

Mistakes in Computation problem

questions asked in board exams

24 Sep
Cube Root of Unity

Explanation of Cube root of Unity

properties of cube root of unity

important formulas

problems discussion related to cube root of unity

26 Sep
Square root of a Complex Number

Derivation of formula of square root of complex numbers

two different methods to find square root of complex number

related problems discussion

27 Sep
Geometry in Complex Number

Some standard points of triangle in complex form

Centriod of trinagles

orthocentre, circumcentre and incentre of triangles in complex form

problem based on equilateral triangles

29 Sep
Rotation theorem

Rotation Theorem of Complex number

examples related to rotation theorem

related problems discussion

Multiplication of a Vector with exp(i theta or -i* theta)

01 Oct
Straight lines in Complex Number

Angle between two line segment in term of Argument

Reduction of equation from Cartesian to Complex Form and Vice-versa

General Equation of Complex Straight line in Complex Form

Real Slope of Complex Straight Line

Equation of Complex Straight Line in Parametric form

Equation of Complex Straight Line in Determinant Format

Co-linearity of Three Given Points

Equation of Parallel or Perpendicular Line to a given Line

Length of Perpendicular of a point from a Complex Straight Line

Complex Slope of Straight line

Relation Between Real slope and Complex Slope

Condition of Parallelism/Perpendicularity in term of Complex Slope

Equation of Perpendicular Bisector in Complex Form

related problems discussion

03 Oct
Complex Circle

General Equation of Complex Circle in form of complex Number

Standard Equation of Complex Circle

Equation of Complex Circle for given extremities of Diameter

Condition for Four points to be Con-cyclic in Complex Form

Equation of Complex Circle passing through three given points

Equation of a Tangent to the Complex Circle

04 Oct
Conic section in Complex form

Equation of Parabola in Complex Number

Equation of Ellipse in Complex number

Equation of Hyperbola in Complex Number

related problems discussion

06 Oct
Question Bank discussion of Complex number

question asked in JEE mains exam

questions asked in JEE Advanced exams

Problems asked in board exams