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 to Basic Concepts in Geometry
- Similarity of Triangles
- Thales Theorem and Angle Bisector Theorem
- Right-angled 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:
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Probability is the extent to which an event is likely to occur.
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Probability is the branch of mathematics that measures the uncertainty of the occurrence of an event using numbers.
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It is expressed as a fraction or percentage using the following formula.
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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.
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The higher the probability of an event, the more likely it is that the event will occur.
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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.
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)"`.
