Set Theory We generally come across different types of collection or groups such as a group of colors, a group of food items, a collection of garments, a collection of books, etc. This collection or group of objects when mathematically represented…

Ordered Pair : An ordered pair consists of two objects or elements in a given fixed order. Equality of Two Ordered Pairs : Two ordered pairs (a, b) and (c, d) are equal if a = c and b = d. Cartesian Product of Two Sets : For any two non-empty se…

Set : A set is a well-defined collection of objects. Representation of Sets : There are two methods of representing a set - Roster or Tabular form : In the roster form, we list all the members of the set within braces { } and separate by commas.…

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. Roots of Quadratic Equation The values of variables satisfying the given quadratic equation are called its ro…

When as students we started learning mathematics, it was all about numbers. Natural numbers, whole numbers, integers. Then we started learning about mathematical functions like addition, subtraction, BODMAS and so on. And so our introduction to alge…

(a + b) 2  = a 2  + 2ab + b 2  Example 1:  Find the value of (3x + 2y) 2  using (a + b) 2  formula. Solution:  find the value of (3x + 2y) 2 Let us assume that a = 3x and b = 2y. We will substitute these values in (a + b) 2  formula: (a + b) …

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (c…

Archimedes   Archimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. What are the four branches of Mathematics?  Algebra, Geometry, Calculus and Statistics & Probability are considered to be the 4 main branches of Ma…

Euclid's postulates were A straight line may be drawn from any one point to any other point.  A terminated line or a line segment can be produced indefinitely.  A circle can be drawn with any center and of any radius.  All right angles are equ…

The credit for introduction geometrical concepts goes the distinguished Greek Mathematician Euclid who is known as the father of geometry and the work geometry comes form the geek words geo which means earth and metreon which means measure. Basic …