In this post, we will learn various types of relations in math on a set. Let’s begin- Types of Relations in Math 1). Void, Universal and Identity Relation Void Relation : Let A be a set. Then \(\phi\) \(\subseteq\) A \(\times\) A and so it is a relation on A. This relation is called the void …
Set is defined as a collection of objects. There are many types of sets in mathematics which are given below. Types of Sets 1). Empty Set A set is said to be empty or null or void set if it has no element and it is denoted by \(\phi\). for example : The set A …
Here, we will learn circular permutation and the formula for circular permutation with examples. Let’s begin – Circular Permutation : If there are 4 different things, then for each circular arrangement number of linear arrangement is 4. Similarly, if n different things are arranged along a circle, for each circular arrangements number of linear arrangement …
Here, you will learn what are the measures of dispersion in statistics i.e. range, mean deviation, variance and standard deviation with example. Let’s begin – Measures of Dispersion : The dispersion of a statistical distribution is the measure of deviation of its values about the their average(central) value. It gives an idea of scatteredness of …
Here, you will learn learn formula for variance and standard deviation and relationship between variance and standard deviation. Let’s begin – Variance and Standard Deviation : The variance of a distribution is, the mean of squares of deviation of variate from their mean. It is denoted by \(\sigma^2\) or var(x). The positive square root of …
Here, you are going to learn formula for mean median and mode and how to find mean, median and mode using those formula with examples. In statistics, mean is the average of numbers. The median of a series is the value of middle term of the series when the values are written in ascending order. …
Here, you will learn modulus function and what is the domain and range of modulus function. Let’s begin – The function f(x) defined by y = |x| = \(\begin{cases} x & \text{if}\ x \ge 0 \\ -x & \text{if}\ x < 0 \end{cases}\) is called the modulus function. It is also called absolute value function. …
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In this post, you will learn how to separate pair of straight lines with example. Let’s begin – How to Separate Pair of Straight Lines (i) Let us consider the homogeneous equation of second degree as \(ax^2+2hxy+by^2\) = 0 ……(i) which represent pair of straight lines passes through the origin. Now, we divide by \(x^2\), …
Here, you will learn what is rectangular hyperbola and parametric equation of rectangular hyperbola with example. Let’s begin – Rectangular Hyperbola The particular kind of the hyperbola in which the length of it’s transverse axis and conjugate axis are equal is called rectangular hyperbola. The eccentricity of the rectangular hyperbola is \(\sqrt{2}\) and the length …
Equation of Ellipse in Standard Form The equation of ellipse in standard form referred to its principal axes along the coordinate axes is \(x^2\over a^2\) + \(y^2\over b^2\) = 1, where a > b & \(b^2\) = \(a^2(1 – e^2)\) \(\implies\) \(a^2\) – \(b^2\) = \(a^2e^2\). where e = eccentricity (0 < e < 1) …
