Introduction Distance formula used to find the distance measure between two lines . In an XY-plane or Cartesian plane, the length of a line joining any two coordinates on the plane can be determined by subtracting them. The coordinates are different depending on their position on the XY plane. To find the distance between the two points $\mathrm{P(x_{1}\, \:y_{1})\:\&\:Q(x_{2}\, \:y_{2})}$ on the coordinate axis we apply the distance formula. To find the perimeter or the length of the sides of any two-dimensional geometric figures we use the distance formula. The distance formula has a wide range of real-life applications such ... Read More

Introduction The difference between a cube and a cuboid is that a cube has six identically sized square faces while a cuboid has rectangular faces . Only the cuboid and the cube are two such solids that have certain shared qualities, such as each having six faces, eight vertices, and twelve edges. There are numerous shapes in geometry, such as cylinders, spheres, and cones, that have distinct properties. Additionally, all inside angles are 90 degrees. In this tutorial, we will discuss the difference between Cube and a Cuboid. Polyhedrons Polyhedrons are 3D shapes with straight edges, flat faces, straight edges, ... Read More

Introduction Area of a triangle in coordinate geometry is used to find the area of a triangle using coordinates. A triangle is a three-sided polygon with three edges and three vertices in geometry. The area of a triangle is the amount of space covered by the triangle in a two-dimensional plane. A triangle is a closed two-dimensional form with three sides, three angles, and three vertices in geometry. Triangles are regarded as the polygon with the fewest sides. Triangles are one of those shapes that have a wide range of properties and applications in our world. A triangle is ... Read More

Introduction Applications of decimals in daily life are in the field of science , engineering, commerce and finance. A Decimal system is a numeral system containing integer numbers and non-integer numbers. The application of the decimal system is widely used in our day-to-day life. Decimal system provides values more accurately than the whole numbers. A Scottish Mathematician John Napier was the first one to introduce the decimal system. Denoting numbers in a decimal system is called Decimal notation.Sometimes the amount of money we get as income from various sources, the electricity bill, weight and height of both living ... Read More

Introduction The applications of linear graphs are widely seen in day-to-day life. Graphs in the form of a straight line Ax+By+C=0 are called Linear graphs. In the standard form of line equation, A and B are coefficients, x and y are variables and C are a constant. In simple terms, a linear graph is a representation of the relationship between two or more variables. By plotting the variables of the equation or say the points x, y, z, etc., on a graph we get a straight line. The applications of linear graphs are widely seen in analysing and ... Read More

Introduction The paired t-test in statistics is a tool that compares the data between two groups of samples and determines whether the mean difference between given measurements is zero or not. In statistics, two-sample t-tests are tools used to compare the means of two datasets. These tests are also known as Student’s t-tests, The results from the tests are used to evaluate the difference between the mean of two samples. The difference is not likely to be due to sampling error or by chance. Paired t-test is used to compare means of two datasets where we are made available with ... Read More

Introduction Application of Integrals is applied in various fields like Mathematics, Science, Engineering etc. The application of integrals is widely seen in both mathematics and physics for various purposes. If integration is applied for an area under a curve or area between two curves it is called the geometrical application of integrals which also includes finding the volume of solid revolution, length of the curve, etc., If the integration is applied to find the centre of gravity, mass, momentum, displacement, the velocity of objects, etc., then it is called the physical application of integrals. In this ... Read More

Introduction Algebraic operations on complex numbers are given by arithmetic operations are addition, subtraction, multiplication, and division. Complex numbers make it simpler to find the square root of negative values. The concept of complex numbers was first presented when Hero of Alexandria, a Greek mathematician, attempted to compute the square root of a negative number in the first century. Numerous scientific research, including those involving signal processing, electromagnetism, fluid physics, quantum mechanics, and vibration analysis, have made use of complex numbers. In this tutorial, we will discuss algebraic operations on complex numbers. Complex Numbers Real and imaginary numbers are ... Read More

Introduction A variable is used to represent an unknown value in an equation. In algebra, we can use the four basic operations addition (+), subtraction (-), multiplication (×), and division (÷) same as arithmetic. In algebra, terms are mathematical expressions that are made of two different parts: the number part and the variable part. In a term, the number part and variable part are multiplied together and written without a multiplication symbol. Terms can have any number of variables Expressions An expression consisting of one or more terms in which variables may have anything as power, including positive, negative, ... Read More

Introduction A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue. We encounter factors and multiples regularly. In the tutorial, we will discuss more Prime and composite number factors, HCF of at least two numbers and we shall solve a few related examples. What is Factor? In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftovers. For instance, they are employed while handling money, sorting objects into groups, looking for patterns in numbers, resolving ratios, and expanding or contracting fractions. We can employ a variety ... Read More