and number theory

- Here is an example to show how to find percentage of a number. Example : Calculate 25% of 70 Solution : Given Number has to be written as, 25 x 70100 or it can be simplified as 1 x 70 4 70 4 = 1.75 Practice .... 1) Calculate 42% of 60 2) Calculate 71% of 86 3) Calculate 152% o..

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..

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. I..

Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..

Exponential form of a Complex number - If z = x + iy We hav..

Rational and Irrational Numbers..

If Z = a + ib, then Z is called the negative of Z. -Z = -(a + ib) = -a - ..

Let Z 1 = a + ib and Z 2 = c + id, then ..

If z = x + iy We hav..