Modulus: It is defined as Argument: Arg(Z): It is defined as it is also known as amplitude of Z symbolically amp(Z) Note: If |Z|=0 then x=0 and y=0 The Argument θ of a complex number is …
Read More »Polar form of a complex number
The polar coordinates of a P are (r,θ) where r is known as modulus and θ is the argument of a complex number Z. From above figure a = r cosθ b = r sinθ or The plane is known as Argand plane or Argand Diagram or complex plane or Gaussian plane.
Read More »Operations on Complex Numbers
Let Z1=( x1, y1 ) = Addition: The sum of two complex numbers is Subtraction: The …
Read More »Need Of Complex Numbers
Need Of Complex Numbers Some quadratic equations which have no solutions in real numbers. For Example 1. 2. 3. In order to find the solutions of above given or similar quadratic equations, the symbol ” i ” was used. Euler was the first person to introduce the symbol ” i “. where …
Read More »properties of complex numbers w.r.t distributive laws
Distributive laws Left Distributive Law Right Distributive Law
Read More »Properties of complex numbers w.r.t multiplication
Properties of complex Numbers If be the three complex numbers then Associative law of multiplication Multiplicative identity.. Commutative law of multiplication For each non-zero
Read More »Definition ( Complex number)
Definition( Complex Number) A complex number is an element (x, y) of the set = { } obeying the following rules of addition and multiplication If then 1. 2. as Z= 3+4i
Read More »Calculus MCQs 02
Calculus MCQs 02 consist of 21 most important questions.Attempt these questions and prepare yourself for better results. Help: math definitions Complex analysis mcqs Real Analysis mcqs Vector Analysis mcqs General knowledge mcqs CALCULUS MCQS TESTS
Read More »Analytic Geometry MCQs 01
Analytic Geometry MCQs 01 consist of 17 most important multiple choice questions. Prepare these questions for better results and also you can prepare definitions of analytic-geometry.
Read More »Mechanics MCQs 01
Mechanics MCQs 01 consists of 31 most important multiple choice questions. Attempt these multiples and prepare yourself.
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