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Sets
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An algebraic expression in which the variables have only non negative powers is called polynomial. Examples: x 2 +3xy 2 +4x 5 : 3x 4 +4xy. Factorisation is expressing a given expression or number as a product of its factor..
Introduction
A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conjecture that (a..
A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conjecture that (a..Introduction
If m is a positive integer, a x a x a . m times is written as a m . a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent..
Introduction
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a princ..
Introduction
It is a rectangular array of numbers, arranged in rows and columns. The number of rows (say m) and the number of columns (say n) determine the order of the matrix. It is written as m x n (to be read as m by n). The plural of matrix is matrices. Matrix is usually denoted by capital..
Introduction
If a and b are any two quantities of the same kind a and b are not equal to zero. then the quotient a/b is called the ratio of a and b. It is expressed as a : b. (read as a is to b..
Introduction
This chapter takes us much further and adds to our already existing knowledge about Ratio and Proportion. We will have to use many of the algebraic manipulations learnt earlier, use them with expertise to solve problems in this chapt..
Introduction
We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figures. Suppose a measurement is recorded as 0.6204 cm. It means that the measurement was made correct to the nearest 0.0001 cm. There are 6204 of ..
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