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