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Introduction Completing the square is an algebraic technique for writing a quadratic expression that contains the perfect square . The Quadratic Formula is the most basic method for determining the roots of a quadratic equation. Certain quadratic equations cannot be easily factorised, and in these cases, we can use this quadratic formula to find the roots as quickly as possible. The roots of the quadratic equation also aid in determining the sum and product of the roots of the quadratic equation. The quadratic formula's two roots are presented as a single expression. The positive and negative signs can be used ... Read More
Introduction A cone has a curved surface at the bottom; therefore, it contains two surface areas that are total surface area is the total surface area covered by the cone, whereas the curved surface the area consists of the surface area covered by the curved surface, which is the surface area other than the bottom circular flat surface. A cone has a vertex or an apex and a slant height. In this tutorial, we will discuss cones, slant height, curved surface area, total surface area, and a few solved examples. Cones Cones are three-dimensional figures with a circular surface at ... Read More
Introduction A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is an 8 vertices, 12 edges, and 6 rectangular faces convex polyhedron. A cuboid is also known as a rectangular prism. An example of a cuboid in the real world is a rectangular box. What is cuboid? Imagine a shape that results from stacking numerous congruent rectangles on top of one another. The resultant shape is known as a cuboid. Dimensions of a Cuboid In order to describe the length, width (breadth), or height of an edge of a cuboid shape, it should be ... Read More
Introduction A diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. Matrices are used in practical life events like military parades, school parades, and planting. The concept of matrix and determinant is recorded as having appeared in the fourth century B.C, although its use is thought to have begun only in the second century BC. Then, towards the end of the seventeenth century, the concept of matrix and determinants came back into use. Mathematical models of everyday world problems are formed as sets of linear equations. Matrices are essential and inevitable to solve ... Read More
Introduction Area of a quadrilateral is the region enclosed by the sides of the quadrilateral. The quantity of territory contained within a quadrilateral determines its area. Let's review the definition of a quadrilateral. A closed shape with four line segments enclosing it is referred to as a quadrilateral. Both regular and irregular quadrilaterals exist. A quadrilateral with regular sides is one with equal-length sides. An irregular quadrilateral is a quadrilateral that is not regular. There are six different kinds of quadrilaterals. Square, rectangle, parallelogram, trapezoid, rhombus, kite, etc. In this tutorial, we discuss areas of all these quadrilaterals. We'll ... Read More
Introduction Area of trapezium is the region covered by a trapezium in a two-dimensional plane. A trapezoid is a convex quadrilateral with exactly one pair of parallel sides. A trapezoid is a two-dimensional shape. It looks like a table if we draw it on paper. A quadrilateral can be described as a polygon that has exactly four sides and four vertices in the terms of Euclidian geometry. The number of sides, corners of a trapezium is always four and it is always constant. There are many examples of trapezoids in the real world. The fundamental use of trapezoids is the ... Read More
Introduction Area is the space occupied by a figure. Polygons are the two-dimensional shape which has plane closed figures made of the line segments. Based on the number of sides each name of the polygon varies such as, triangles, quadrilateral, etc. The circle and ellipse are closed two dimensional shapes that have no sides. Area is a two-dimensional measurement that represents the amount of space covered by a two-dimensional shape. Area Area is the space inside a 2D shape. To measure the area of polygons, when the figure is in the grid, we can use unit squares. By ... Read More
Introduction Arithmetic Geometric progression is a sequence of numbers in which each element is arranged in such an order that ratio of two consecutive terms always remains the same. In mathematics, a sequence is a collection of numbers arranged in an order that each element in the sequence corresponds to the position and value of the next element. Sequence is the basis for calculating infinite series in advanced mathematics. In this tutorial, we will study arithmetic progression, nth term formula, sum of n terms of an arithmetic progression and some solved examples. Sequence A collection of numbers which can be ... 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 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