positive numbers of real numbers

If x and y are real numbers, then x + iy is called a complex number. x is called the real part and y is called the imaginary part. The complex number x + iy is also written as an ordered pair (x, y) and is denoted by z. i.e., z = x + iy The pos..

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..

Argand diagram of the q th roots of a Complex number - All the q-th roots of z lie on a circle centred at the origin O and having radius equal to the real, positive q t h root of r. One of them has amplitude and others are uniformly spaced around the circle separated f..

An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in..

Polynomial - An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in..

The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line,..

The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real numbers..

Some particular expansions for Positive Integral Index - For n N, we have: a) (a - b) n (a +(- b))..

The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or o..

Greatest Terms for Positive Integral Index - In (a + b) n , let 'a' and 'b' be both positive numbers. As r increases, the factor decreases. So long as this factor is greater than 1, T r..