Rajasthan Board (RBSE) Syllabus for Class 12 - Landing Page

Unit

Topics

Unit 1: Relations and Functions

• Types of relations: Equivalence, Symmetric, Transitive and Reflexive Relations

• Functions: One to one and onto functions, the inverse of a function, and composite functions.

• Binary operations

• Inverse Trigonometric Functions And Graphs of inverse trigonometric functions: properties of inverse, range, domain, principal value branch.

Unit 2: Algebra

• Matrices Properties of addition, scalar multiplication, and non-commutativity of multiplication of matrices

• Existence of non-zero matrices

• Concept of elementary row and column operations.

• Invertible matrices and proof of the uniqueness of inverse

• Determinants: Consistency and inconsistency

• Solutions of systems of linear equations in two or three variables using the inverse of a matri

Unit 3: Calculus

• Continuity and Differentiability: Concept of logarithmic and exponential functions.

• Lagrange’s and Rolle’s Mean Value Theorems

• Applications of Derivatives

• Integrals

• Applications of the Integrals in finding areas under Straight lines, simple curves, circles/ellipse/parabolas.

• Differential Equations: Introduction, order, and degree

• Formation of a differential equation, solution of differential equations, Solutions of the linear differential equation of the form: dy/dx + py = q

Unit 4: Vectors and 3-D Geometry

• Vectors: Vectors and scalars

• Magnitude and direction of a vector, direction ratios of a vector, and direction cosines.

• Types of vectors, components of a vector, position vector of a point dividing a line in an assigned ratio.

• Geometrical Evaluation, properties, and application of scalar (dot) product of vectors, a scalar triple product of vectors, vector (cross) product of vectors

• Direction ratios and direction cosines of a line connecting two points.

• Cartesian equation and vector equation of a line and a plane.

• Angle between line and two lines

• Angle between a plane and two planes

Unit 5: Linear Programming

• Definition, objective function, optimization, and constraints

• Different types of linear programming problems.

• Mathematical formulation of linear programming problems.

• Graphical method of solution for linear equation problems in two variables, feasible and infeasible regions, feasible and infeasible solutions

Unit 6: Probability

• Conditional probability and Multiplication theorem on probability, total probability

• Independent events

• Baye’s theorem

• Random variable, Mean and variance of the random variable and its probability distribution

• Binomial distribution

Units

Important Topics and NCERT Solutions

Unit 1: Solid State

Electrical and magnetic properties, Packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects, etc. 

Unit 2: Solutions

Osmotic pressure, determination of molecular masses using colligative properties, Elevation of boiling point, depression of freezing point, abnormal molecular mass, etc 

Unit 3: Electrochemistry

Kohlrausch’s Law, lead accumulator, Conductance in electrolytic solutions, specific, variations of conductivity with concentration, etc. 

Unit 4: Chemical Kinetics

Integrated rate equations and half-life, the concept of collision theory (elementary idea, no mathematical treatment), etc 

Unit 5: Surface Chemistry

Brownian movement, electrophoresis, Lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, coagulation, emulsion-types of emulsions, etc 

Unit 6: General Principles and Processes of Isolation of Elements

Occurrence and principles of extraction of aluminium, copper, zinc and iron, Principles and methods of extraction – concentration, oxidation, reduction – electrolytic method and refining; etc

Unit 7: p-block Elements

Halides PCl3, Ozone, Sulphur-allotropic forms; Phosphorus – allotropic forms, Preparation properties and uses of sulphur-dioxide, etc. 

Unit 8: d and f-block elements

Magnetic properties, interstitial compounds, Metallic character, ionization enthalpy, preparation and properties of K2Cr2O7 and KMnO4, etc

Unit 9: Coordination Compounds

IUPAC nomenclature of mononuclear coordination compounds. Bonding, Introduction, ligands, coordination number, Werner’s theory, VBT, and CFT; structure and stereoisomerism, etc 

Unit 10: Haloalkanes and Haloarenes

Nomenclature, nature of C-X bond, physical and chemical properties, substitution reactions, etc

Unit 11: Alcohols, Phenols, and Ethers

Mechanism of dehydration, physical and chemical properties, uses, uses with special reference to methanol and ethanol, etc 

Unit 12: Aldehydes, Ketones, and Carboxylic Acids

Nomenclature, nature of carbonyl group, methods of preparation, physical, uses, methods of preparation, etc

Unit 13: Amines (Organic Compounds and containing Nitrogen)

Classification, structure, methods of preparation, secondary and tertiary amines, etc

Unit 14: Biomolecules

Monosaccharides (glucose and fructose), polysaccharides (starch, cellulose, glycogen) importance, etc

Unit 15: Polymers

Biodegradable and non-biodegradable polymers, etc, Some important polymers: natural and bakelite, rubber, etc 

Unit 16: Chemistry in Everyday Life

Tranquillizers antiseptics, disinfectants, antacids, antihistamines, artificial sweetening agents, etc

Units

Important Topics 

Electrostatics

Electric Charges, Conservation of charge, Coulomb’s law-force between two point charges, forces between multiple charges, the electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field, etc. 

Current Electricity

Ohm’s law, electrical resistance, V-I characteristics (linear and nonlinear), electrical energy and power, electrical resistivity and conductivity, Kirchhoff’s laws and simple applications. Wheatstone bridge, metre bridge, etc.

Magnetic effect of Current and Magnetism

Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, Force on a moving charge in a uniform magnetic and electric fields, Earth’s magnetic field and magnetic elements, etc. 

Electromagnetic Induction and Alternating Currents

Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, peak and RMS value of alternating current/voltage; reactance and impedance, etc. 

Electromagnetic Waves

Electromagnetic waves, their characteristics, their transverse nature, Electromagnetic spectrum, including elementary facts about their uses, etc. 

Optics

Refraction of light, total internal reflection and its applications, lensmaker’s formula. Magnification, power of a lens, Reflection of light, spherical mirrors, mirror formula, a combination of thin lenses in contact, etc. 

Dual Nature of Matter

Matter waves-wave nature of particles, de Broglie relation, Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation-particle nature of light, Davisson-Germer experiment, etc. 

Atoms and Nuclei

Bohr model, energy levels, hydrogen spectrum, Composition and size of nucleus, Alpha-particle scattering experiment; Rutherford’s model of atom; atomic masses, isotopes, radioactive decay law, etc. 

Electronic Devices

transistor as a switch, I-V characteristics of the transistor, transistor as an amplifier (common emitter configuration), the basic idea of analogue and digital signals, etc. 

Communication Systems

Propagation of electromagnetic waves in the atmosphere, amplitude modulation.

Production and detection of an amplitude-modulated wave, etc.

Sections

Topics

Reading

2 unseen passages

Writing

Writing advertisements, Notices, Report writing, Letter writing

Grammar

Clauses (Noun Clauses, Adverb Clauses, Relative Clauses) 

Synthesis 

Phrasal Verbs (break, bring, carry, come, get, put, turn) 

Prepositions of motion, time, space and mental attitude

Text Book- Flamingo

2 short answer questions on lessons, 1 reference question and 1 long answer type

Supp. Book- Vistas

2 short answer questions and 1 long answer type and 6 MCQs

Sections

Marks

Reading

15

Writing

15

Grammar

8

Text Book- Flamingo

28

Vistas

14

Units

Marks Allotment

Solid State

3

Solutions

3

Electro Chemistry

4

Chemical Kinetics

4

Surface Chemistry

4

Principles and process for Extraction of Elements

2

p-block elements

4

d and f- block elements

3

Chemical Bonds/ Coordinate Complex

3

Halogen Derivatives

4

Oxygen-containing functional groups 1

4

Oxygen-containing functional groups 2

3

Nitrogen-containing functional groups carbonic compounds

3

Bio Atom

3

Polymer

3

Stereoscopic Chemistry

3

Chemistry in Everyday Life

3

Total

56

Units

Marks 

Relations and Functions

7

Algebra

10

Calculus

36

VECTORS AND THREE - DIMENSIONAL GEOMETRY

16

LINEAR PROGRAMMING

4

Probability

7

Units

Marks

Electrostatics

7

Current Electricity

5

Magnetic effects of Electric current

4

Magnetism and Matter

3

Electro-Magnetic Induction and Alternate Current

7

Optics

12

Dual Radiation

4

Atomic and Nuclei

6

Semiconductor

6