Coordinate Geometry

Coordinate Geometry, also known as Cartesian Geometry or Analytic Geometry, is a branch of mathematics that merges algebraic techniques with geometric intuition. It provides a powerful framework for representing geometric shapes and solving problems by introducing coordinates to the geometric objects. The Cartesian Coordinate System The cornerstone of coordinate geometry is the Cartesian Coordinate System, … Read more


A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations. The general form of a polynomial is: \( P(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0 \) where \( a_n, a_{n-1}, \ldots, a_1, a_0 \) are coefficients, \( x \) is the variable, … Read more

Number Systems

Number systems are fundamental mathematical structures used to represent and manipulate numerical quantities. They provide a systematic way of expressing numbers, making mathematical operations and communication more efficient. Different number systems have evolved over time, each with its unique representation and set of rules. The three most commonly used number systems are the decimal (base-10), … Read more


Definition of Linear Inqualities Two real numbers or two algebraic expressions related by the symbol‘<’, ‘>’, ‘≤’ or ‘≥’ form an inequality 3 < 5; 7 > 5 are the examples of numerical inequalities x < 5; y > 2; x ≥ 3, y ≤ 4 are some examples of literal inequalities Keys point of … Read more

Trigonometric Functions of Sum and Difference of Two Angles

The word ‘trigonometry’ is derived from the Greek words ‘trigon’ and ‘metron’ and it means ‘measuring the sides of a triangle’. The subject was originally developed to solve geometric problems involving triangles. It was studied by sea captains for navigation, surveyor to map out the new lands, by engineers and others. Currently, trigonometry is used … Read more