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Expansions
In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessary. These expansions h..
Composition of two functions or Product of two functions
Let f:AgB and g:AgB be two functions. Thus the composition of two functions f and g denoted by gof or fog is the function from A into C defined by gof = {(a,b) for some c B, (a,c) f and (c,b) g..
Linear equations in two variables
Linear equations in two variables - A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable repre..
Linear equations in two variables
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two variables is of the form ax + by = c,where ..
Cartesian product of two sets
Let A and B be two non-empty sets, then the cartesian product of A and B denoted by A x B = {(a, b) | a A, b B..
Plot Linear equations in two variables
Summary Linear equations in two variables - An equation is called a Linear equation in one variable or an equation of degree one in one variable, if only a single variable with degree one occurs in the equation. An equation is called a Linear equation in one variable or an equation of deg..
2)
Consider the following inequations. a) x > 0 ..
Graphical representation of a Linear Equation in two variables
The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is called y-axi..
Note 2:
If f and g are two continuous functions then f + g, f - g, fg are continuous function..
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