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In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of functions.In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate th..

In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of functions...

A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplificatio..

We use alphabets like x, y, z etc., to denote variables. For example the length of a rectangle is denoted by 'l'. It takes different values in different rectangles. A formula is a relation between different variables formed using mathematical symbols. Any given condition can be translat..

Writing a polynomial as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Most of the polynomials can be factorised by grouping the terms suitably and taking out the common factors. Identities studied in the previous chapter a..

In a given sentence, the variables are replaced by letters and the different operations are replaced by their mathematical symbols. We now arrive at a formula. In a given sentence, the variables are replaced by letters and the different operations are replaced by their mathematical ..

Let f(x) tend to a limit l 1 as x tends to a through values less than 'a', then l 1 is called the left hand limit which is symbolically written ..

A statement is an assertion or a sentence that is either true or false, but not both. A variable is a symbol that may represent any member of a specified set called replacement set or domain of that variable. A mathematical expression is a symbolic repr..

We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fuction. In this chap..

A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equation are equal. Henc..