CBSE Syllabus 2020
Mathematics
Sets
Set,Equivalent Set, Disjoint Set, Super Set, Subset, Complement of set, Power Set, Operations on Sets, Idempotent Laws, Identity Laws, Commutative Laws, Associative Laws, Distributive Laws, Demorgan’s Laws, Venn Diagram, Ordered Pairs,
Relations & Functions
Cartesian Product of Sets, Relations, Function, Domain, Range, Algebra of Real Functions, Composition of Functions, Invertible Function, Binary Operations
Mathematical Induction
Mathematical Deduction, Mathematical Induction, Principle of Mathematical Induction
Mathematical Reasoning
Mathematical Statement, Simple Statement, Negation of Statement, Compound Statement, Connectives, Implications, Contrapositive & Converse Statement, Quantifiers, Contradiction
Algebra
Complex Numbers
Complex Numbers, Algebra of Complex Numbers, Modulus and the Conjugate, Argand Plane, Polar Representation, Quadratic Equations
Roots of Equation, Linear Equation, Quadratic Equation, Cubic Equation
Linear Inequalities, Algebraic Solution of Linear Equation, Graphical Solution of Linear Equation
Permutation & Combination
Principle of Counting, Permutation, Factorial, Circular Permutation, Combination, Restrictive Permutation, Restrictive Combination.
Sequence, Series, Arithmetic Progression, Arithmetic Mean, Geometric Progression, Geometric Mean
Binomial Theorem
Binomial Theorem for Positive Integral Indices, Pascal’s Triangle, General and Middle Terms
Geometry
Lines
Straight Lines, Slope of line, Angle between lines, Collinearity, Equation of a Line, Distance of a Point From Line
Conic Sections
Section of a cone, Circle, Parabola, Ellipse, Hyperbola,
3D Geometry
Coordinate Axes and & Planes in 3D Space, Coordinates of a Point in Space, Distance between Two Points in 3D space, Section Formula in 3D space, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between Two Lines, Distance between Two Lines, Equation of a plane,Coplanarity of Two Lines, Angle between Planes, Distance of a Point from a Plane, Angle between a Line and a Plane,
Calculus
Limit of Function, Algebraic Limits, Right &Left Hand Limit, Infinite Limit, Factorisation, Rationalisation Method, Continuity, Continuity of Function
Calculus, Differentiation, Derivative, Derivative Function, Implicit functions, Parametric Function, Derivative Of Function Of A Function, Second Order Derivative, Partial Derivative, Logarithmic Differentiation, Extreme of differentiable Function, Maxima and Minima, Applications of Maxima and Minima.
Statistics
Statistical Data Variables, Discreet Data Variable, Continuous Data Variable. Statistical Data, Data Collection, Primary Data, Secondary Data, Sampling Error, Non Sampling Error, Data Presentation, Diagrammatic Data Presentation, Pie Chart, Bar Chart, Frequency Distribution, Discreet Frequency Distribution, Frequency Polygon, Ogive Frequency Polygon, Cumulative Frequency Polygon, Histogram, Frequency Curve
Arithmetic Mean, Geometric Mean, Harmonic Mean, Mode, Median, Deviation, Weighted Arithmetic Average, Weighted Geometric Mean, Weighted Harmonic Mean, Continuous Series, Grouped Frequency Distribution, Quartiles, Deciles, Percentiles
Dispersion, Range. Quartile Deviation, Mean Deviation, Standard Deviation, Discreet Series, Continuous Series
Random Experiment, Sample Space, Events & Outcome, Statistical Probability Theories, Total Probability Theorems, Mutually Exclusive & Dependent Events, Compound Probability, Conditional Probability, Bernoulli’s Theorem, Expected Value
