Scatter Plots and CorrelationStatisticians and quality control technicians gather data to determine correlations (relationships) between such events. Scatter plots will often show at a glance whether a relationship exists between two sets of data. Let’s …

EllipseAn ellipse is the locus of a point which moves in such a way that its distance from a fixed point is in constant ratio (<1) to its distance from a fixed line. The fixed point is called the focus and fixed line is called the directrix and the c…

Evaluating LimitsMethods of evaluation of limitsWe shall divide the problems of evaluation of limits in five categories. (1) Algebraic limits:Let f(x) be an algebraic function and ‘a’ be a real number. Then  is known as an algebraic limit.Direct substit…

How do Logarithms Work?Logarithms“The Logarithm of a given number to a given base is the index of the power to which the base must be raised in order to equal the given number.” If a > 0 and ≠ 1 then logarithm of a positive number N is defined as the…

Area Of Trapezium Example Problems With SolutionsTrapezium – A quadrilateral which has one pair of opposite sides parallel. Example 1:    Find the area of a trapezium whose parallel sides 25 cm, 13 cm and other sides are 15 cm and 15 cm Solution: In Δ…

Like Terms Monomials that have the same variable factors are called like terms. The simplest “like terms” are numbers (constants). Remember the “variable” in a constant term is represented as x0, which is 1. 5 = 5x0 = 5 • 1 = 5The terms 4x² and 5x² are l…

Solution of First Order Linear Differential EquationsLinear and non-linear differential equationsA differential equation is a linear differential equation if it is expressible in the form Thus, if a differential equation when expressed in the form of a…

What is Combination and What is the Formula for nCr?CombinationsDefinition: Each of the different groups or selections which can be formed by taking some or all of a number of objects, irrespective of their arrangements, is called a combination. Notatio…

Adding PolynomialsIn the previous lesson, we are discussing about polynomials, Types of Polynomials, Monomials, Binomials, and Polynomials . Now lets learn adding polynomials. Add like terms by adding the numerical portion of the terms, following the ru…

Trigonometrical Ratios or FunctionsIn the right angled triangle OMP, we have base = OM = x, perpendicular =PM = y and hypotenues = OP =r. We define the following trigonometric ratio which are also known as trigonometric function. (1) Relation between tr…