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Conjugate complex numbers
If Z = a + ib is a complex number, then a - ib is called the complex conjugate of a + ib and the conjugate is denoted by..
To find the logarithm of a Complex number
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..
Sum of two Complex numbers
If Z 1 = a + ib and Z 2 = x + iy, then we define their sum as Z 1 + Z 2 = (a + ib) + (x + iy) = (a + x) + i(b + y) which is a complex number..
Graphical representation of Complex numbers
Graphical representation of Complex numbers - The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number. In the figure, P defines Z = x + iy. I..
To find the logarithm of a Complex number
To find the logarithm of a Complex number - Let z= x + iy be a complex number. Taking log on both side..
Graphical representation of Complex numbers
The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number. In the figure, P defines Z = x + iy. It is customary to choose x-axis as real axis and y-axi..
Polar form of a Complex number
Let z = x+iy denote the point P(x,y) in the xy plane. Then from the figure, we have z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where..
Exponential form of a Complex number
Exponential form of a Complex number - If z = x + iy We hav..
Irrational numbers 2 Animation
Learn through Animation Rational and Irrational Numbers..
Properties of Complex numbers
If Z, Z 1 and Z 2 are complex numbers, th..
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