The standard form of a circle equation is given as: (x - h)2 + (y - k)2 = r2 Here, (h, k) represents the coordinates of the centre of the... View Article
The inverse of a function is defined as the function that reverses other functions. Suppose f(x) is the function, then its inverse can be... View Article
The objective function in linear programming problems is the real-valued function whose value is to be either minimized or maximized subject to... View Article
Suppose A(x1, y1) and B(x2, y2) be the two points considering as the end points of a diameter, then the equation of a circle given two points is... View Article
The main advantages of geometric mean are listed below: It is rigidly determined. The calculation is based on all the terms of the sequence.... View Article
The inverse of csc can also be written as arccsc or cosec-1. The graph of inverse cosecant function is given below: From this, we can say the... View Article
The general form of a straight line equation is slope intercept form. Thus, the equation of the line is written as: y = mx + c Here, m = Slope... View Article
We can differentiate cos x using the first principle of derivatives. This can be done as shown below: d/dx (cos x) = limh→0 [cos(x + h) - cos... View Article
Geometry deals with the position, shape and properties of different objects that we see in our daily life. It includes the study of various... View Article
Based on different situations, a2 + b2 (a square plus b square) can be represented as given below: In algebraic identities, a2 + b2 = (a + b)2 -... View Article
Two lines or line segments are said to be perpendicular if the angle of inclination between them is exactly 90 degrees. When two line segments... View Article
The formula for calculating the simple interest on a given principal amount P, rate of interest R, and time T(in years) is given by: SI =... View Article
Arthur Cayley was a great mathematician and known as the father of matrices. He was born on 16th August 1821. In 1858, Arthur Cayley published... View Article
Coordinate geometry is the connection of those concepts of Euclidean geometry on the coordinate system with at least two axes, namely x-axis and... View Article
FOIL is the acronym that means, first outer, inner, last. This method is used to multiply binomials to avoid confusion and to get an accurate... View Article
The symbol ∈ (epsilon) symbolises the set membership that means “is an element of”. Consider the expression b ∈ B. This means b is an element of... View Article
The difference between the sin and cos graphs in trigonometry can be observed from the below figure: Here, the graph of sin crosses the x-axis... View Article
Bayes theorem determines the probability of an event based on the prior knowledge of conditions that might be related to that event. For example,... View Article
In linear algebra, a triangular matrix is a special type of square matrix. If all the elements below the main diagonal of a square matrix are... View Article
To understand how to perform multiplication of 3x3 matrices, have a look at the example given below: Let Now, AB11 = 1(1) + 2(2) + 3(3) = 1... View Article
