## JEE Main 2014 Syllabus Mathematics Unit – 11

Co-Ordinate Geometry :

Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

• Straight lines

Various forms of equations of a line, intersection of lines, angles betweentwo lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines.

• Circles, conic sections

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.

## JEE Main 2014 Syllabus Mathematics Unit – 10

#### Differential  Equations :

Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type:

dy+ p (x) y = q (x)

dx

## JEE Main 2014 Syllabus Mathematics Unit – 9

Integral Calculus :

Integral as an anti – derivative. Fundamental integrals involving algebraic, trigonometric, exponential and  logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities.

Evaluation of simple integrals of the type Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

## JEE Main 2014 Syllabus Mathematics Unit – 8

#### Limit , Continuity and  Differentiability :

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals.

## JEE Main 2014 Syllabus Mathematics Unit – 7

#### Sequences  and  Series :

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, S n3.

Arithmetico – Geometric progression.

## JEE Main 2014 Syllabus Mathematics Unit – 6

#### Binomial  Theorem and  Its  Simple  Applications :

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

## JEE Main 2014 Syllabus Mathematics Unit – 5

#### Mathematical Induction :

Principle of Mathematical Induction and its simple applications.

## JEE Main 2014 Syllabus Mathematics Unit – 4

#### Permutations  and  Combinations :

Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.

## JEE Main 2014 Syllabus Mathematics Unit – 3

#### Matrices  and  Determinants :

Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three.

Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

## JEE Main 2014 Syllabus Mathematics Unit – 2

#### Complex Numbers Quadratic Equations :

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots.

## JEE Main 2014 Syllabus Mathematics Unit – 1

#### Sets , Relations and  Functions :

Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. one-one, into and onto functions, composition of functions.

## JEE Main 2014 Syllabus Chemistry Unit – 28

ORGANIC CHEMISTRY

#### Principles  Related  to  Practical  Chemistry

•  Detection of extra elements (N,S, halogens) in organic compounds; Detection of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl and amino groups in organic compounds.
•  Chemistry involved in the preparation of the following: Inorganic compounds: Mohr’s salt, potash alum.
• Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform.
• Chemistry involved in the titrimetric excercises – Acids bases and the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4.
•  Chemical principles involved in the qualitative salt analysis: Cations – Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+.
• Anions- CO3 2-, S2-, SO4 2-, NO2-, NO3-, CI -, Br, I. (Insoluble salts excluded).
•  Chemical principles involved in the following experiments:

1. Enthalpy of solution of CuSO4

2. Enthalpy of neutralization of strong acid and strong base.

3. Preparation of lyophilic and lyophobic sols.

4. Kinetic study of reaction of iodide ion with hydrogen peroxide at room temperature.

## JEE Main 2014 Syllabus Chemistry Unit – 27

ORGANIC CHEMISTRY

#### Chemistry  in  Everyday  Life

Chemicals in medicines – Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamins – their meaning and common examples.

Chemicals in food – Preservatives, artificial sweetening agents – common examples.

Cleansing agents – Soaps and detergents, cleansing action.

## JEE Main 2014 Syllabus Chemistry Unit – 26

ORGANIC CHEMISTRY

#### Biomolecules

General introduction and importance of biomolecules.

CARBOHYDRATES – Classification: aldoses and ketoses; monosaccharides (glucose and fructose) and constituent monosaccharides of oligosacchorides (sucrose, lactose and maltose).

PROTEINS – Elementary Idea of ı – amino acids, peptide bond, polypeptides;

Proteins: primary, secondary, tertiary and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.

VITAMINS – Classification and functions.

NUCLEIC ACIDS – Chemical constitution of DNA and RNA.

Biological functions of nucleic acids.

## JEE Main 2014 Syllabus Chemistry Unit – 25

ORGANIC CHEMISTRY

#### Polymers

General introduction and classification of polymers, general methods of polymerization-addition and condensation, copolymerization;

Natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and uses – polythene, nylon, polyester and bakelite.

## JEE Main 2014 Syllabus Chemistry Unit – 24

ORGANIC CHEMISTRY

#### Organic  Compounds  Containing  Nitrogen

General methods of preparation, properties, reactions and uses.

Amines: Nomenclature, classification, structure, basic character and identification of primary, secondary and tertiary amines and their basic character.

Diazonium Salts: Importance in synthetic organic chemistry.

## JEE Main 2014 Syllabus Chemistry Unit – 23

ORGANIC CHEMISTRY

#### Organic  Compounds  Containing  Oxygen

General methods of preparation, properties, reactions and uses.

ALCOHOLS, PHENOLS AND ETHERS

Alcohols: Identification of primary, secondary and tertiary alcohols; mechanism of dehydration.

Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration and sulphonation, Reimer – Tiemann reaction.

Ethers: Structure.

Aldehyde and Ketones: Nature of carbonyl group;Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as – Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives),

Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of ı – hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones.

CARBOXYLIC ACIDS

Acidic strength and factors affecting it.

## JEE Main 2014 Syllabus Chemistry Unit – 22

ORGANIC CHEMISTRY

#### Organic  Compounds  Containing  Halogens

General methods of preparation, properties and reactions; Nature of C-X bond;

Mechanisms of substitution reactions.

Uses; Environmental effects of chloroform & iodoform.

## JEE Main 2014 Syllabus Chemistry Unit – 21

ORGANIC CHEMISTRY

#### Hydrocarbons

Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions.

Alkanes – Conformations: Sawhorse and Newman projections (of ethane);

Mechanism of halogenation of alkanes.

Alkenes – Geometrical isomerism; Mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoff’s and peroxide effect); Ozonolysis and polymerization.

Alkynes – Acidic character; Addition of hydrogen, halogens, water and hydrogen halides; Polymerization.

Aromatic hydrocarbons – Nomenclature, benzene – structure and aromaticity;

Mechanism of electrophilic substitution: halogenation, nitration, Friedel – Craft’s alkylation and acylation, directive influence of functional group in monosubstituted benzene.

## JEE Main 2014 Syllabus Chemistry Unit – 20

ORGANIC CHEMISTRY

#### Some  Basic  Principles  of  Organic  Chemistry

Tetravalency of carbon; Shapes of simple molecules – hybridization (s and p);

Classification of organic compounds based on functional groups: – C = C – , – Ch C – and those containing halogens, oxygen, nitrogen and sulphur;

Homologous series; Isomerism – structural and stereoisomerism.

Nomenclature (Trivial and IUPAC)

Covalent bond fission – Homolytic and heterolytic: free radicals, carbocations and carbanions; stability of carbocations and free radicals, electrophiles and nucleophiles.

Electronic displacement in a covalent bond – Inductive effect, electromeric effect, resonance and hyperconjugation.

© Copyright Entrance India - Engineering and Medical Entrance Exams in India | Website Maintained by Firewall Firm - IT Monteur