Circles Geometry The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. 1. Inscribed angle theorem. The measure of an inscribed angle is equal to one-half the measure of its intercepted arc. Circle Geometry
Lines , angles and triangle
Pairs of angles formed when a third line (a transversal) crosses two other lines. These angles are opposite sides of the transversal and are in between the other two lines. Line, angle and triangle
Factorisation
Factorisations processes we applied bracket to take common term out. Also we apply difference of square of variable. Hence we reduce no of terms in expression. Therefore factorisation and expansion are reverse process. Factorization
Properties of indices
Laws of Exponents. Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. Law of Indices. To manipulate expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated […]
Quadratics
First of all this post consists of questions of factorisation of quadratics . The method use to find solutions are splitting middle term and another method is formula . We also find the nature of roots of equation. The method is use to find nature is discriminant (D= b2-4ac). Discriminant is also used in formula […]
Integration of polynomial
Integration is way of adding functions to find the sum. Due to this concept can find areas and volumes. This also used to find equation of curve from derivative. Hence integration also called anti derivative. It is another method of Integration Numerical integration. It computing an integral with a numerical method. Integration
Differentiation of polynomial
Differentiation is process of getting derivative. Differentiation has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. Similarly in chemistry as well as Economics also derivative
Formulae of Calculus
List of Calculus Formulas-basic Properties and Formulas of Integration : If f (x) and g(x) are differentiable functions . Another In basic calculus, we learn rules and formulas for differentiation, which is the method by which we calculate the derivative of a function, and integration, Differential Calculus that is concerning rates of change and slopes of curves, and Integral Calculus concerning […]
Integration by Substitution-5
This post is about worksheet of integration by substitutions. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by substitution
Integration by Substitution-4
This post is about worksheet of integration by substitutions. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] integration by substitution
