Math-I

1. Basic Principle of Counting 2. Permutation (Arrangement of Objects) (a) Set of Objects All Different Example:Find the number of ways to arrange 3 objects out of 5. (b) Set of Objects Not All Different Example:Number of distinct words formed from letters of “BALLOON”: (c) Circular Arrangement Example:Ways to arrange 5 people around a circular…

Part 1: Conic Sections 🔷 1.1 Definitions Conic Definition Circle Set of points equidistant from a fixed point (center). Parabola Set of points equidistant from a fixed point (focus) and a line (directrix). Ellipse Set of points where the sum of distances from two fixed points (foci) is constant. Hyperbola Set of points where the…

1. Introduction to Matrices Matrix: A rectangular arrangement of numbers in rows and columns. Notation: where ( a_{ij} ) represents the element at row ( i ) and column ( j ). 2. Types of Matrices Row Matrix: Column Matrix: Square Matrix: Diagonal Matrix: Identity Matrix (I): Zero Matrix: 3. Equality of Matrices Two matrices…

1. Sequence and Series Sequence: A set of numbers arranged in a definite order following a specific pattern.Example: 1, 4, 7, 10, … Series: The sum of terms of a sequence.Example: 1 + 4 + 7 + 10 + … 2. Arithmetic Sequence (A.P.) Definition: A sequence in which each term is obtained by adding…

1. Ordered Pairs and Cartesian Product 2. Relations Domain and Range of a Relation Inverse of a Relation 3. Types of Relations 4. Functions Definition of Function Domain and Range of a Function Inverse Function 5. Special Functions 6. Algebraic Functions and Graphs 7. Trigonometric Functions and Graphs 8. Exponential and Logarithmic Functions Exponential Function…