## Equation of the Hyperbola | Graph of a Hyperbola

Here you will learn what is hyperbola, equation of the hyperbola and graph of a hyperbola with basic definitions like vertex, foci and directrix. Let’s begin – What is Hyperbola ? A hyperbola is the locus of a point in a plane which moves in a plane in such way that the ratio of its …

## General Equation of the Circle – Formula and Examples

What is a Circle ? A circle is the locus of a point which moves in a plane in such way that its distance from a fixed point(in the same given plane) remains constant. The fixed point is called center of circle and the constant distance is called radius of the circle. The general equation …

## Graph of a Parabola – Types of Parabolas

A parabola is locus of a point which moves in a plane, such that its distance from a fixed point called focus is equal to its perpendicular distance from a fixed straight line called directrix. Graph of a Parabola and their types are shown below. Basic Concepts of a Parabola (a) Focal distance : The …

## Formula for Unit Vector

Here you will learn what is unit vector, representation of unit vector, formula for unit vector and how to find the unit vector with examples. Let’s begin – What is a Vector ? A quantity that has both magnitude & direction is called a vector. A vector that has magnitude of 1 is called a …

## How to Calculate Slope of Line – Slope of Parallel Lines

How to Calculate Slope of Line If given line makes an angle $$\theta$$ (0 $$\le$$ $$\theta$$ $$\le$$ 180 , $$\theta$$ $$\ne$$ 90) with positive direction of x-axis, then slope of line will be tan$$\theta$$ and is usually denoted by letter m. i.e. m = tan$$\theta$$. Slope of line Passing Through Two Points Formula If A($$x_1,y_1$$) …

## Types of Discontinuities – Removable and Nonremovable

Discontinuity : The function f(x) will be discontinuous at x = a in either of the following situations and it has the following types of discontinuities discusses below : 1. $$\displaystyle{\lim_{x \to a^-}}$$ f(x) and $$\displaystyle{\lim_{x \to a^+}}$$ f(x) exist but are not equal. 2. $$\displaystyle{\lim_{x \to a^-}}$$ f(x) and $$\displaystyle{\lim_{x \to a^+}}$$ exist and are equal …