JEE Main 2018 Notification- Eligibility, Application, Exam Dates

JEE Main 2018 Notification- eligibility, application, dates


The Joint Entrance Examination (Advanced) 2018 will be conducted by the IITs . The performance of a candidate in this examination will form the basis for admission to the Bachelor’s, Integrated Master’s and Dual Degree programs (entry at the 10+2 level) in all the IITs. The decisions of the JAB 2018 will be final in all matters related to JEE (Advanced) 2018 and admission to IITs.


CBSE ने JEE Main 2018 ऑफ़लाइन परीक्षा और आवेदन फार्म के लिए परीक्षा की तारीख जारी की है। परीक्षा 08 अप्रैल 2018 को आयोजित की जाएगी और इसका आवेदन पत्र 1 दिसंबर 2017 होगा |
 JEE Main (संयुक्त प्रवेश परीक्षा) CBSE बोर्ड द्वारा आयोजित भारत की शीर्ष स्तर की इंजीनियरिंग प्रवेश परीक्षा है। उम्मीदवार JEE Main के माध्यम से एनआईटी, आईआईआईटी और अन्य इंजीनियरिंग संस्थानों में बी.टेक / बीए / बी.अर्च पाठ्यक्रम में प्रवेश प्राप्त कर सकते हैं, हालांकि आईआईटी इन पाठ्यक्रमों में जेईई एडवांस्ड परीक्षा JEE Main परीक्षा उत्तीर्ण करने वाले उम्मीदवारों को जेईई एडवांस्ड परीक्षा में शामिल होने के योग्य माना जाएगा


JEE Main 2018

The Ministry of Human Resource Development, Government of India ने 2017 से जेईई पैटर्न में दो परिवर्तनों के बाद अधिसूचित किया है मध्य प्रदेश, हरियाणा, उत्तराखंड, नागालैंड, उड़ीसा और कुछ अन्य संस्थानों के राज्यों में जेईई (मुख्य) प्रणाली में शामिल हो गए हैं, तथापि, उनके प्रवेश संबंधी मानदंडों को संबंधित प्राधिकरणों द्वारा अधिसूचित किया जाएगा। इसलिए, उन राज्यों में संस्थानों में प्रवेश लेने वाले उम्मीदवार, जो पहले उनके राज्य स्तर की परीक्षा के आधार पर स्वीकार करते थे, को भी जेईई (मुख्य) -2018 आवेदन पत्र ऑनलाइन भरे |


Exam Name: Joint Entrance Exam (Main)
Conducting Authority: Central Board of Secondary Education (CBSE)
Paper I - B Tech/BE
Paper II - B Arch/B Planning


Eligibility Criteria JEE Main 2018-
All the candidates must fulfil each and every one of the following five criteria to appear in JEE (Advanced) 2018.

Performance in JEE (Main) 2018: Candidates should be among the top 2,24,000* (including all categories) in Paper-1 of JEE (Main) 2018.

The percentages of various categories of candidates to be shortlisted are: 27% for OBC-NCL, 15% for SC, 7.5% for ST and the remaining 50.5% is OPEN for all. Within each of these four categories, 5% horizontal reservation is available for PwD candidates.
Age limit: Candidates should have been born on or after October 1, 1993. Five years relaxation is given to SC, ST and PwD candidates, i.e., these candidates should have been born on or after October 1, 1988.


Number of attempts: A candidate can attempt JEE (Advanced) a maximum of two times in consecutive years.


Appearance in Class XII (or equivalent) examination: A candidate should have appeared for the Class XII (or equivalent) examination for the first time in either  2017 or 2018.

However, if the examination Board of Class XII (or equivalent) declares the results for the academic year  2015-16 after June  2016, then the candidates of that board who appeared for their class XII exam in 2016 are also eligible to appear in JEE (Advanced) 2018, provided they meet the other eligibility criteria.  In case, the examination Board of Class XII (or equivalent) declared the results for the academic year 2015-16 before June 2016 but the result of a particular candidate was withheld, then the candidate will not be eligible to appear in JEE (Advanced) 2018.

Criterion 5 – Earlier admission at IITs: A candidate should NOT have been admitted in an IIT irrespective of whether or not he/she continued in the program OR accepted an IIT seat by reporting at a reporting centre in the past. Candidates whose admission at IITs was cancelled after joining any IIT are also NOT eligible to appear in JEE (Advanced) 2018.
Candidates who have been admitted to a preparatory course in any of the IITs for the first time in 2017 can appear in JEE (Advanced) 2018.

The candidates who paid seat acceptance fee in 2017 but (i) did not report at any reporting centre OR, (ii) withdrew before the last round of seat allotment, OR, (iii) had their seat cancelled (for whatever reason) before the last round of seat allotment for IITs, during the joint seat allocation in 2017 are eligible to appear in JEE (Advanced) 2018.

However, in any of the above cases, the candidate is required to fulfil the conditions mentioned from criterion 1 to criterion 4.


Score & Result for JEE (Main)-2018

The score and rank of Paper-I of JEE (Main) - 2018 for all candidates will be declared by 30th April 2018. This score shall comprise the actual marks obtained in Paper-I of JEE (Main)-2018 along with the status of those who qualify for appearing in JEE (Advanced)-2018 provided and subject to other conditions of eligibility being met. The rank shall comprise All India rank and All India category rank.

No score/rank card will be dispatched to the candidates and the candidates are advised to download their score/rank cards from the JEE (Main) Website http://jeemain.nic.in only


Eligibility for NITs, IIITs & CFTIs participating through Seat Allocation Board:

Admission to NITs, IIITs & CFTIs participating though Central Seat Allocation Board will be based on All India Rank as explained above in section 2.10 subject to the condition that the candidate should have secured at least 75% marks in the 12th class exam or be in the top 20% in the 12th class exam conducted by the respective Boards

For SC/ST candidates the qualifying marks would be 65% in the 12th class exam


Subjects /Courses
Subject combinations required in the qualifying exam for admission to B.E./B. Tech. & B. Arch./B. Planning Courses in NITs, IIITs, and other CFTIs shall be as under.


For B.E. /B Tech - Required Criteria based on Class 12th/Equivalent qualifying Exam; passed 10+2 Exam with Physics and Mathematics as compulsory subjects along with one of the Chemistry/Biotechnology/Biology/Technical Vocational subjects.


B.Arch./B.Planning- Passed 10+2 Examination with Mathematics.

Number of Seats in various Institutions:
For all admission related procedures/queries, the candidates are advised to refer the website of JoSAA, Central Seat Allocation Board (CSAB) or the concerned State Govt. /Institute after declaration of ranks of JEE (Main) - 2018

Reservation of Seats

As per Govt. of India rules candidates belonging to certain categories are admitted to seats reserved for them based on relaxed criteria. These categories are:
I. OBC if they belong to Non-Creamy Layer (NCL)
II. SC
III. ST
IV. PwD with 40% or more disability
Benefit of reservation for admission to NITs/IIITs and CFTIs shall be given only to those classes/castes/tribes which are in the respective central list published by the Govt of India
For admission to State Engineering colleges who have opted for admission through JEE (Main)-2018, the reservation rules of that state shall apply

Seat Allocation Process & Admission Procedure

Candidates shall be offered admission based on their choices and All India Ranks of JEE (Main)-2018 through a Seat Allocation Process to be announced later. The candidates will be able to make their choices online for branches/programmes and institutes at appropriate time.

Candidates are advised to regularly visit the JEE (Main) website http://jeemain.nic.in for latest information.

For Other Information 





JEE (Advanced ) 2018 - Old Paper JEE (Advanced ) Exam 2017 and Exam 2016

The Joint Entrance Examination (Advanced) 2018 will be conducted by the IITs . The performance of a candidate in this examination will form the basis for admission to the Bachelor’s, Integrated Master’s and Dual Degree programs (entry at the 10+2 level) in all the IITs. The decisions of the JAB 2018 will be final in all matters related to JEE (Advanced) 2018 and admission to IITs.




CBSE ने JEE Main 2018 ऑफ़लाइन परीक्षा और आवेदन फार्म के लिए परीक्षा की तारीख जारी की है। परीक्षा 08 अप्रैल 2018 को आयोजित की जाएगी और इसका आवेदन पत्र 1 दिसंबर 2017 होगा |
 JEE Main (संयुक्त प्रवेश परीक्षा) CBSE बोर्ड द्वारा आयोजित भारत की शीर्ष स्तर की इंजीनियरिंग प्रवेश परीक्षा है। उम्मीदवार JEE Main के माध्यम से एनआईटीआईआईआईटी और अन्य इंजीनियरिंग संस्थानों में बी.टेक / बीए / बी.अर्च पाठ्यक्रम में प्रवेश प्राप्त कर सकते हैंहालांकि आईआईटी इन पाठ्यक्रमों में जेईई एडवांस्ड परीक्षा JEE Main परीक्षा उत्तीर्ण करने वाले उम्मीदवारों को जेईई एडवांस्ड परीक्षा में शामिल होने के योग्य माना जाएगा


JEE Main 2018

The Ministry of Human Resource Development, Government of India ने 2017 से जेईई पैटर्न में दो परिवर्तनों के बाद अधिसूचित किया है मध्य प्रदेशहरियाणाउत्तराखंडनागालैंडउड़ीसा और कुछ अन्य संस्थानों के राज्यों में जेईई (मुख्य) प्रणाली में शामिल हो गए हैंतथापिउनके प्रवेश संबंधी मानदंडों को संबंधित प्राधिकरणों द्वारा अधिसूचित किया जाएगा। इसलिएउन राज्यों में संस्थानों में प्रवेश लेने वाले उम्मीदवारजो पहले उनके राज्य स्तर की परीक्षा के आधार पर स्वीकार करते थेको भी जेईई (मुख्य) -2018 आवेदन पत्र ऑनलाइन भरे |



Question Papers JEE(Main)-2017 Paper I

·         02.04.2017 Set A
·          
·         02.04.2017 Set B
·          
·         02.04.2017 Set C
·          
·         02.04.2017 Set D
·          
·         08.04.2017 Physics
·          
·         08.04.2017 Chemistry
·          
·         08.04.2017 Mathematics
·          
·         09.04.2017 Physics
·          
·         09.04.2017 Chemistry
·          
·         09.04.2017 Mathematics

JEE Main 2018 Notification- Eligibility, Registration Fees For JEE (Advanced ) 2018



The Joint Entrance Examination (Advanced) 2018 will be conducted by the IITs . The performance of a candidate in this examination will form the basis for admission to the Bachelor’s, Integrated Master’s and Dual Degree programs (entry at the 10+2 level) in all the IITs. The decisions of the JAB 2018 will be final in all matters related to JEE (Advanced) 2018 and admission to IITs.


CBSE ने JEE Main 2018 ऑफ़लाइन परीक्षा और आवेदन फार्म के लिए परीक्षा की तारीख जारी की है। परीक्षा 08 अप्रैल 2018 को आयोजित की जाएगी और इसका आवेदन पत्र 1 दिसंबर 2017 होगा |
 JEE Main (संयुक्त प्रवेश परीक्षा) CBSE बोर्ड द्वारा आयोजित भारत की शीर्ष स्तर की इंजीनियरिंग प्रवेश परीक्षा है। उम्मीदवार JEE Main के माध्यम से एनआईटीआईआईआईटी और अन्य इंजीनियरिंग संस्थानों में बी.टेक / बीए / बी.अर्च पाठ्यक्रम में प्रवेश प्राप्त कर सकते हैंहालांकि आईआईटी इन पाठ्यक्रमों में जेईई एडवांस्ड परीक्षा JEE Main परीक्षा उत्तीर्ण करने वाले उम्मीदवारों को जेईई एडवांस्ड परीक्षा में शामिल होने के योग्य माना जाएगा


JEE Main 2018

The Ministry of Human Resource Development, Government of India ने 2017 से जेईई पैटर्न में दो परिवर्तनों के बाद अधिसूचित किया है मध्य प्रदेशहरियाणाउत्तराखंडनागालैंडउड़ीसा और कुछ अन्य संस्थानों के राज्यों में जेईई (मुख्य) प्रणाली में शामिल हो गए हैंतथापिउनके प्रवेश संबंधी मानदंडों को संबंधित प्राधिकरणों द्वारा अधिसूचित किया जाएगा। इसलिएउन राज्यों में संस्थानों में प्रवेश लेने वाले उम्मीदवारजो पहले उनके राज्य स्तर की परीक्षा के आधार पर स्वीकार करते थेको भी जेईई (मुख्य) -2018 आवेदन पत्र ऑनलाइन भरे |


Registration Fee For JEE (Advanced) 2018


Registration Fee for Examination Centres in India
Indian Nationals
(including PIO/OCI)
Female Candidates (all categories)
INR 1300 + GST*
SC, ST, PwD Candidates
INR 1300 + GST*
All Other Candidates
NR 2600 + GST*



Foreign Nationals
Candidates from SAARC countries
USD 160 + GST*

Candidates from Non-SAARC countries
USD 300 + GST*
*Exact GST (Goods and Services Tax) amount will be specified as per Government of India rules at the time of registration.


Registration Fee for Examination Centres in Foreign countries
Indian Nationals
(including PIO/OCI)
All Indian Nationals
USD 160 + GST*



Foreign Nationals
Candidates from SAARC countries
USD 160 + GST*
Candidates from Non-SAARC countries
USD 300 + GST*


Detailed instructions related to the payment of registration fee will be given on the online registration portal.

JEE Main 2018 Syllabus , Notification, Registration Fees For JEE (Advanced ) 2018

The Joint Entrance Examination (Advanced) 2018 will be conducted by the IITs . The performance of a candidate in this examination will form the basis for admission to the Bachelor’s, Integrated Master’s and Dual Degree programs (entry at the 10+2 level) in all the IITs. The decisions of the JAB 2018 will be final in all matters related to JEE (Advanced) 2018 and admission to IITs.


CBSE ने JEE Main 2018 ऑफ़लाइन परीक्षा और आवेदन फार्म के लिए परीक्षा की तारीख जारी की है। परीक्षा 08 अप्रैल 2018 को आयोजित की जाएगी और इसका आवेदन पत्र 1 दिसंबर 2017 होगा |
 JEE Main (संयुक्त प्रवेश परीक्षा) CBSE बोर्ड द्वारा आयोजित भारत की शीर्ष स्तर की इंजीनियरिंग प्रवेश परीक्षा है। उम्मीदवार JEE Main के माध्यम से एनआईटीआईआईआईटी और अन्य इंजीनियरिंग संस्थानों में बी.टेक / बीए / बी.अर्च पाठ्यक्रम में प्रवेश प्राप्त कर सकते हैंहालांकि आईआईटी इन पाठ्यक्रमों में जेईई एडवांस्ड परीक्षा JEE Main परीक्षा उत्तीर्ण करने वाले उम्मीदवारों को जेईई एडवांस्ड परीक्षा में शामिल होने के योग्य माना जाएगा


JEE Main 2018

The Ministry of Human Resource Development, Government of India ने 2017 से जेईई पैटर्न में दो परिवर्तनों के बाद अधिसूचित किया है मध्य प्रदेशहरियाणाउत्तराखंडनागालैंडउड़ीसा और कुछ अन्य संस्थानों के राज्यों में जेईई (मुख्य) प्रणाली में शामिल हो गए हैंतथापिउनके प्रवेश संबंधी मानदंडों को संबंधित प्राधिकरणों द्वारा अधिसूचित किया जाएगा। इसलिएउन राज्यों में संस्थानों में प्रवेश लेने वाले उम्मीदवारजो पहले उनके राज्य स्तर की परीक्षा के आधार पर स्वीकार करते थेको भी जेईई (मुख्य) -2018 आवेदन पत्र ऑनलाइन भरे |


CHEMISTRY

Physical chemistry

General topics 

Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.


Gaseous and liquid states

Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.


 Atomic structure and chemical bonding

 Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of sp and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving sp and d orbitals only; Orbital energy diagrams for homonuclear diatomic species;  Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral). 


Energetics

First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.

 
Chemical equilibrium

Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance of ΔG and ΔG
0 in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions;  Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.


Electrochemistry
Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.

Chemical kinetics

Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation). 


Solid state

Classification of solids, crystalline state, seven crystal systems (cell parameters abc, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.

Solutions

Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.


Surface chemistry

Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).


Nuclear chemistry 

Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.



Inorganic Chemistry

Isolation/preparation and properties of the following non-metals 

Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.


Preparation and properties of the following compounds

Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide;  Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.


Transition elements (3d series)

Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cis-trans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).


Preparation and properties of the following compounds: 

Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe
2+, Cu2+ and Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate. 


Ores and minerals 

Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver. 


Extractive metallurgy

Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).


Principles of qualitative analysis:

Groups I to V (only Ag
+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+,  Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide. 



Organic Chemistry

Concepts

Hybridisation of carbon; σ and π-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism;  Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage;  Formation, structure and stability of carbocations, carbanions and free radicals.     


Preparation, properties and reactions of alkanes

Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.


Preparation, properties and reactions of alkenes and alkynes 
Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO
4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen);  Addition reactions of alkynes; Metal acetylides.


Reactions of benzene

Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of o-, m- and p-directing groups in monosubstituted benzenes. 


Phenols
Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.


Characteristic reactions of the following (including those mentioned above) 

Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions,  nucleophilic substitution reactions;  Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl
2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamson’s  Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition);  Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).


Carbohydrates 
Classification; mono- and di-saccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.


Amino acids and peptides

General structure (only primary structure for peptides) and physical properties.


Properties and uses of some important polymers 

Natural rubber, cellulose, nylon, teflon and PVC.


Practical organic chemistry: 

Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of mono-functional organic compounds from binary mixtures.





MATHEMATICS

Algebra

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric  and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.
Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only). 


Analytical geometry

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines;  Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord.
Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points  of  intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. 
Locus problems.

Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.


Differential calculus
Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.
Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.

Integral calculus

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.

Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.


Vectors
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.



PHYSICS

General 
Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box. 


Mechanics 

Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity.

Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.

Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.

Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies. 

Linear and angular simple harmonic motions.

Hooke’s law, Young’s modulus.

Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications. 

Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound). 


Thermal physics 

Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (C
v and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law. 


Electricity and magnetism 

Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell. 

Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor. 

Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current. 

Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field. 

Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources. 


Optics 
Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.

Modern physics 

Atomic nucleus; α, β and γ radiations; Law of radioactive decay;  Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes. 

Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.
 






ARCHITECTURE APTITUDE TEST

Freehand drawing 

This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale.  Common domestic or day-to-day life usable objects like furniture, equipment, etc., from memory.


Geometrical drawing
Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc.  Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.

Three-dimensional perception

Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientation. Visualization through structuring objects in memory.



Imagination and aesthetic sensitivity 


Composition exercise with given elements. Context mapping. Creativity check through innovative uncommon test with familiar objects. Sense of colour grouping or application.

Architectural awareness
General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain. 


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