## 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 …