Karanatka Board

PHYSICS-XI

CHAPTER I: UNITS AND MEASUREMENTS

CHAPTER II: MOTION IN A STRAIGHT LINE

CHAPTER III: MOTION IN A PLANE

CHAPTER IV: LAWS OF MOTION

CHAPTER V: WORK, ENERGY AND POWER

CHAPTER VI: SYSTEM OF PARTICLES AND ROTATIONAL MOTION

CHAPTER VII: GRAVITATION

CHAPTER VIII: MECHANICAL PROPERTIES OF SOLIDS

CHAPTER XI: MECHANICAL PROPERTIES OF FLUIDS

CHAPTER X: THERMAL PROPERTIES OF MATTER

CHAPTER XI: THERMODYNAMICS

CHAPTER XII: KINETIC THEORY

CHAPTER XIII: OSCILLATIONS

CHAPTER XIV: WAVES


PHYSICS-XII

CHAPTER I: ELECTRIC CHARGES AND FIELDS

CHAPTER II: ELECTROSTATIC POTENTIAL AND CAPACITANCE

CHAPTER III: CURRENT ELECTRICITY

CHAPTER IV: MOVING CHARGES AND MAGNETISM

CHAPTER V: MAGNETISM AND MATTER

CHAPTER VI: ELECTROMAGNETIC INDUCTION

CHAPTER VII: ALTERNATING CURRENT

CHAPTER VIII: ELECTROMAGNETIC WAVES

CHAPTER IX: RAY OPTICS AND OPTICAL INSTRUMENTS

CHAPTER X: WAVE OPTICS

CHAPTER XI: DUAL NATURE OF RADIATION AND MATTER

CHAPTER XII: ATOMS

CHAPTER XIII: NUCLEI

CHAPTER XIV: SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS


CHEMISTRY-XI

UNIT I: SOME BASIC CONCEPTS OF CHEMISTRY

UNIT II: STRUCTURE OF ATOM

UNIT III: CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES

UNIT IV: CHEMICAL BONDING AND MOLECULAR STRUCTURE

UNIT V: THERMODYNAMICS

UNIT VI: EQUILIBRIUM

UNIT VII: REDOX REACTIONS

UNIT VIII: ORGANIC CHEMISTRY: SOME BASIC PRINCIPLES AND TECHNIQUES

UNIT IX: HYDROCARBONS


CHEMISTRY-XII

UNIT I: SOLUTIONS

UNIT II: ELECTROCHEMISTRY

UNIT III: CHEMICAL KINETICS

UNIT IV: d - and f- BLOCK ELEMENTS

UNIT V: COORDINATION COMPOUNDS

UNIT VI: HALOALKANES AND HALOARENES

UNIT VII: ALCOHOLS, PHENOLS AND ETHERS

UNIT VIII: ALDEHYDES, KETONES AND CARBOXYLIC ACIDS

UNIT IX: AMINES

UNIT X: BIOMOLECULES


MATHEMATICS-XI

CHAPTER I: SETS

CHAPTER II: RELATIONS & FUNCTIONS

  • Relation
  • Ordered pairs
  • Cartesian product of sets
  • Number of elements in the Cartesian product of two finite sets
  • Cartesian product of the set of reals with itself (upto R x R x R)
  • Definition of relation
  • Pictorial diagrams, domain, co-domain and range of a relation
  • Function as a special type of relation
  • One-one, into and onto functions
  • The composition of functions
  • Pictorial representation of a function, domain, co-domain and range of a function
  • Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs
  • Sum, difference, product and quotients of functions

CHAPTER III: TRIGONOMETRIC FUNCTIONS

  • Positive and negative angles
  • Measuring angles in radians and in degrees and conversion from one measure to another
  • Definition of trigonometric functions with the help of unit circle
  • Truth of the identity sin 2x + cos 2x = 1 , for all x
  • Signs of trigonometric functions
  • Domain and range of trigonometric functions and their graphs
  • Expressing sin (x±y) and cos (x±y) in terms of sin x , sin y ,cos x & cos y and their simple applications
  • Deducing identities like the following: tan(x ± y) = tan x ± tan y / 1 ± tan x tan y , cot(x ± y) = cot x cot y ± 1 / cot y ± cot x sin α ± sin β = 2sin(½(α ± β))cos(½(α ∓ β)) cos α + cos β = 2cos(½(α + β))cos(½(α − β)) cos α − cos β = −2sin(½(α + β))sin(½(α − β)) Identities related to sin 2x , cos 2x ,tan 2x ,sin 3x ,cos 3x and tan 3x
  • General solution of trigonometric equations of the type sin y = sin a , cos y = cos a and tan y = tan a
  • Trigonometrical identities and trigonometrical functions
  • Inverse trigonometrical functions
  • Properties of inverse trigonometrical functions

CHAPTER IV: COMPLEX NUMBERS AND QUADRATIC EQUATIONS

CHAPTER V: LINEAR INEQUALITIES

  • Linear inequalities
  • Algebraic solutions of linear inequalities in one variable and their representation on the number line
  • Graphical solution of linear inequalities in two variables
  • Graphical method of finding a solution of system of linear inequalities in two variables

CHAPTER VI: PERMUTATIONS AND COMBINATIONS

CHAPTER VII: BINOMIAL THEOREM

CHAPTER VIII: SEQUENCE AND SERIES

CHAPTER IX: STRAIGHT LINES

CHAPTER X: CONIC SECTIONS

CHAPTER XI: INTRODUCTION TO THREE-DIMENSIONAL GEOMETRY

CHAPTER XII: LIMITS AND DERIVATIVES

CHAPTER XIII: STATISTICS

CHAPTER XIV: PROBABILITY


MATHEMATICS-XII

CHAPTER I: RELATIONS AND FUNCTIONS

CHAPTER II: INVERSE TRIGONOMETRICAL FUNCTIONS

CHAPTER III: MATRICES

  • Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices
  • Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication
  • Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2)
  • Concept of elementary row and column operations
  • Invertible matrices and proof of the uniqueness of inverse, if it exists

CHAPTER IV: DETERMINANTS

CHAPTER V: CONTINUITY AND DIFFERENTIABILITY

CHAPTER VI: APPLICATIONS OF DERIVATIVE

  • Geometrical application-tangent and normal at a point
  • Rolle’s theorem
  • Mean value theorem and their geometrical interpretation (without proof)
  • Derivative as a rate measure-introduction
  • Increasing and decreasing function
  • Approximation (without proof)
  • Maxima and minimaintroduction of extrema and extreme values
  • Maxima and minima in a closed interval
  • First derivative test, second derivative test

CHAPTER VII: INTEGRATION

CHAPTER VIII: APPLICATIONS OF DEFINITE INTEGRAL

  • Area under the curve : area bounded by curve and axis (simple problems), area bounded by two curves
  • Volume of solid of revolution-volume of solid obtained by revolving the area under the curve about the axis (simple problems)

CHAPTER IX: DIFFERENTIAL EQUATION

  • Definition-differential equation, order, degree, general solution, particular solution of differential equation, formation of differential equation-formation of differential equation by eliminating arbitary constants (at most two constants)
  • Solution of first order and first degree differential equation-variable separable method, homogeneous differential equation (equation reducible to homogeneous form are not expected)
  • Linear differential equation
  • Applications : population growth, bacterial colony growth, surface area, Newton’s laws of cooling, radioactive decay.

CHAPTER X: VECTORS ALGEBRA

  • Vectors and scalars, magnitude and direction of a vector
  • Direction cosines/ratios of vectors
  • Types of vectors (equal, unit, zero, parallel and collinear vectors)
  • Position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a Scalar, position vector of a point dividing a line segment in a given ratio
  • Scalar (dot) product of vectors, projection of a vector on a line
  • Vector (cross) product of vectors

CHAPTER XI: THREE-DIMENSIONAL GEOMETRY

CHAPTER XII: LINEAR PROGRAMMING

  • Introduction
  • Definition of related terminology such as constraints
  • Objective function
  • Optimization
  • Different types of linear programming (L.P.) problems
  • Mathematical formulation of L.P. problems
  • Graphical method of solution for problems in two variables
  • Feasible and infeasible regions
  • Feasible and infeasible solutions
  • Optimal feasible solutions (up to three non-trivial constraints)

CHAPTER XIII: PROBABILITY


BIOLOGY-XI

UNIT I: DIVERSITY OF LIVING ORGANISMS

The Living World
  • What is living?
  • Biodiversity
  • Need for classification
  • Taxonomy & Systematics
  • Concept of species and taxonomical hierarchy
  • Binomial nomenclature
Biological Classification
  • Five kingdom classification
  • Salient features and classification of Monera
  • Protista and Fungi into major groups
  • Lichens
  • Viruses and
  • Viroids
Plant Kingdom
  • Salient features and classification of plants into major groups - Algae, Bryophyta, Pteridophyta, Gymnospermae and Angiospermae (salient and distinguishing features and a few examples of each category)
  • Angiosperms - classification up to class, characteristic features and examples
Animal Kingdom
  • Salient features and classification of animals, non-chordates up to phyla level and chordates up to class level (salient features and distinguishing features of a few examples of each category)
  • (No live animals or specimen should be displayed)

UNIT II: STRUCTURAL ORGANISATION IN ANIMALS AND PLANTS

Morphology of Flowering Plants
Anatomy of Flowering Plants
Structural Organisation in Animals

UNIT III: CELL: STRUCTURE AND FUNCTION

Cell-The Unit of Life
Biomolecules
Cell Cycle and Cell Division

UNIT IV: PLANT PHYSIOLOGY

Photosynthesis in Higher Plants
Respiration in Plants
Plant - Growth and Development

UNIT V: HUMAN PHYSIOLOGY

Breathing and Exchange of Gases
Body Fluids and Circulation
Excretory Products and their Elimination
Locomotion and Movement
Neural control and Coordination
Chemical Coordination and Integration

BIOLOGY-XII

UNIT I: REPRODUCTION

Sexual Reproduction in Flowering Plants
Human Reproduction
Reproductive Health
  • Need for reproductive health and prevention of sexually transmitted diseases (STD)
  • Birth control-Need and Methods, Contraception and Medical Termination of Pregnancy (MTP)
  • Amniocentesis
  • Infertility and assisted reproductive technologies — IV F, ZIFT, GIFT (Elementary idea for general awareness)

UNIT II: GENETICS AND EVOLUTION

Principles of Inheritance and Variation
Molecular Basis of Inheritance
Evolution

UNIT III: BIOLOGY AND HUMAN WELFARE

Human Health and Diseases
  • Dengue, chikungunya
Microbes in Human Welfare

UNIT IV: BIOTECHNOLOGY AND ITS APPLICATIONS

Biotechnology - Principles and Processes
Biotechnology and its Application

UNIT V: ECOLOGY AND ENVIRONMENT

Organisms and Populations
  • Organisms and environment
  • Population interactions mutualism, competition, predation, parasitism
  • Population attributes-growth, birth rate and death rate, age distribution
Ecosystem
  • Ecosystem: Patterns, components
  • Productivity and decomposition
  • Energy flow
  • Pyramids of number, biomass, energy
Biodiversity and its Conservation