Topics
Relations and Functions
 Introduction of Relations and Functions
 Ordered Pair
 Cartesian Product
 Concept of Relation
 Concept of Functions
 Representation of Functions
 Types of Functions
 Special Cases of Functions
 Composition of Functions
 Identifying the Graphs of Linear, Quadratic, Cubic and Reciprocal Functions
Numbers and Sequences
 Introduction of Numbers and Sequences
 Euclid’s Division Lemma
 Euclid’s Division Algorithm
 Fundamental Theorem of Arithmetic
 Modular Arithmetic
 Sequence
 Arithmetic Progression
 Series
 Geometric Progression
 Sum to n Terms of a Geometric Progression
 Special Series
Algebra
 Introduction to Algebra
 Simultaneous Linear Equations in Three Variables
 GCD and LCM of Polynomials
 Rational Expressions
 Square Root of Polynomials
 Quadratic Equations
 Graph of Variations
 Quadratic Graphs
 Matrices
Geometry
 Introduction of Geometry
 Similarity of Triangles
 Thales Theorem and Angle Bisector Theorem
 Rightangled Triangles and Pythagoras Property
 Converse of Pythagoras Theorem
 Circles and Tangents
 Concurrency Theorems
Coordinate Geometry
 Coordinate Geometry
 Area of a Triangle by Heron's Formula
 Area of a General Quadrilateral
 Inclination of a Line
 Straight Line
 General Form of a Straight Line
Trigonometry
Mensuration
 Mensuration
 Surface Area of Cylinder
 Surface Area of a Right Circular Cone
 Surface Area of a Sphere
 Frustum of a Cone
 Volume of a Cylinder
 Volume of a Right Circular Cone
 Volume of a Sphere
 Volume of Frustum of a Cone
 Surface Area and Volume of Different Combination of Solid Figures
 Conversion of Solids from One Shape to Another with No Change in Volume
Statistics and Probability
 Introduction of Statistics and Probability
 Measures of Dispersion
 Coefficient of Variation
 Probability
 Algebra of Events
 Addition Theorem of Probability
 Tree diagram
 Probability of an Event
Notes
Probability:

Probability is the extent to which an event is likely to occur.

Probability is the branch of mathematics that measures the uncertainty of the occurrence of an event using numbers.

It is expressed as a fraction or percentage using the following formula.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event, and 1 indicates certainty.

The higher the probability of an event, the more likely it is that the event will occur.

For a random experiment, if sample space is ‘S’and ‘A’ is an expected event then the probability of ‘A’ is P(A). It is given by the following formula.
P(A) = `"Number of sample points in event A"/"Number of sample points in sample spaces" = "n(A)"/"n(S)"`.