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 …
Equation of the Hyperbola | Graph of a Hyperbola Read More »
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 …
General Equation of the Circle – Formula and Examples Read More »
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 …
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 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(\(x_1,y_1\)) …
How to Calculate Slope of Line – Slope of Parallel Lines Read More »
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 …
Types of Discontinuities – Removable and Nonremovable Read More »
