real numbers and complex numbers

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Complex Fractions - A complex fraction is a fraction where the numerator, denominator, or both contain a fraction. Complex fraction may contain any type of fraction or combination of fraction such as proper, improper, decimal et..

can be represented on the number line. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line, there exists a real number. Express with rational denominator. Expre..

The rational numbers can be expressed as terminating or recurring decimals. Numbers which are not rational are called irrational numbers . When expressed as decimals, they are non-terminating and non-recurring. We can obtain infinite number of ..

Dividing a given complex fraction into two or more farction with denominator of each fraction to be same factor, such fraction is called as Partial fractio..

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..

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 x...

Question: If a, b, c are three consecutive terms of an AP, then prove that k a , k b and k c are three consecutive terms in GP, where k is a non zero real number. Answer: Since a, b, c are in AP b - a = c - b...(i) If k a , k b , k c will be in G.P., then k b - a..

Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there are infinite number of..