how to find the range of a function algebraically

For a function f:A ->B Set A is called the domain of the function f Set B is the called the co-domain of the function Set of Images of all elements in Set A is called the range i.e it is the set of values of f(x) which we get for each and every x in the domain Now lets see how to find the … Continue reading how to find the range of a function algebraically »

common difference of arithmetic progression or sequence

Common difference of arithmetic progression or sequence is defined as the difference between the two consecutive terms in the arithmetic progression or sequence or series.  It is constant across the whole series if $a_1$,$a_2$ ,$a_3$.$a_4$ …..  are in arithmetic progression or sequence then $d=a_2 -a_1 = a_3 -a_2 =a_4 -a_3$…. If the common difference is not same across the series ,then series is not in … Continue reading common difference of arithmetic progression or sequence »

Vertical line test for functions and relation

A relation is a function if no pair of the relation has the same first elements. On the graph,two points will lie in the same vertical line if and only if the first coordinate of the two points are same. Therefore if a vertical line intesect the Relation graph at two points then it is not a function. This is called the Vertical line test. If all vertical lines intersect a curve at most once then the curve represents a function

Trigonometric table from 0 to 360 (cos -sin-cot-tan-sec-cosec)

Trigonometric ratios are important module in Maths. Here in this post, I will provide Trigonometric table from 0 to 360 (cos -sin-cot-tan-sec-cosec) and also the easy and simple way to remember it. Trigonometric table for 0 to 90 is given by And this can be easily remember by below method How to easily remember trigonometric ratios table Now to remember the Trigonometric table for 120 to … Continue reading Trigonometric table from 0 to 360 (cos -sin-cot-tan-sec-cosec) »

How to easily remember trigonometric ratios table

Trigonometric ratios table for standard angles is given as Students often find it difficult to remember and use it trigonometric equations, questions and problems There is one easy way to remember these trigonometric ratios table.Lets check it out 1.For sin ratios for 0,30 ,45 ,60 and 90, we can remember them as $sin 0 = \sqrt { \frac {0}{4}} = 0$ \$sin 30 = \sqrt … Continue reading How to easily remember trigonometric ratios table »

Important Solved Functions problems for JEE Maths

Functions Chapter in mathematics is quite important for JEE Preparation. Fundamentals of this chapter is required to clear to move ahead.I am trying to give few Important Solved Functions problems for JEE Maths in this article . You can refer below link for below for the detailed study material on Relations and Function Relation and function Study material So Here we go.I hope you will like … Continue reading Important Solved Functions problems for JEE Maths »

Complex Numbers

Complex numbers are the numbers of the form a+ib where a and b are real numbers.

Definition:- Complex numbers are defined as an ordered pair of real numbers like (x,y) where

z=(x,y)=x+iy

and both x and y are real numbers and x is known as real part of complex number and y is known as imaginary part of the complex number.

Vector Algebra 2

In this post we’ll lern Vector algebra in component form.
Component of any vector is the projection of that vector along the three coordinate axis X, Y, Z.