# JEE Syllabus

##### 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

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.

##### Matrices

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.

##### Probability

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.

##### 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.

### Why JEE?

The Joint Entrance Examination is a national level engineering entrance exam held twice a year for admission of to various engineering colleges in India. The National Testing Agency conducts it.

### What are the two exams that come under JEE?

Joint Entrance Exam is formed by two separate exams- JEE Main and JEE Advanced.

### JEE is conducted by which Agency?

The Joint Entrance Examination (JEE) is a national-level computer-based engineering entrance exam conducted by NTA (National Test Agency) for admission to various colleges in India, such as Indian Institute of Technology, National Institute of Technology, Indian Institute of Information Technology and other Government funded technical Institutes.

### What are the institutions that come under JEE Main?

NITs, IIEST, IIITs and Other-GFTIs

IITs

### How many papers are there in JEE Main?

JEE Mains comprises of two papers, Paper-I and Paper-II. Candidates can choose either of the two. Both papers have multiple-choice questions. Paper I is for the admission in B.E./B.Tech courses. Paper-II is for the admission in B.Arch and B.Planning courses.

### Are both papers mandatory in JEE Main?

Candidates can choose either of the two.

### When Jain Main was conducted

JEE Main 2020 is already conducted from 1 to 6 September 2020

### when its result was declared?

The result is released on 10 September on the official website of JEE Mains 2020 jeemain.nta.ac.in.

### Which 3rd paper is introduced in JEE Main?

From January 2020: One additional paper (Paper III) is introduced for B. Planning students i.e. Drawing test, which will be conducted in offline mode (pen-paper based).

### For many year result is valid?

The validity of the result is one year.

### Will candidates get the same sets of papers?

Candidates will not get the same sets of question papers.

### What is normalization procedure?

The normalization process is an established practice prescribed by NTA for comparing candidate scores in multi-session papers adopted in other large academic selection tests conducted in India. In simple terms, if we say. To ensure a candidate is at no loss or even get benefit from this procedure.

### How is NTA rank calculated?

The NTA will rank students based on their percentile marks, which will be calculated according to a pre-determined formula. I.e.

### How merit ranking is determined when there is a tie?

1. If the candidate is acquiring equal marks/percentile, then among themselves merit will be determined to below sequence: · Candidate acquiring higher marks/percentile in Maths - Candidate acquiring higher marks/percentile in Physics · Candidate acquiring higher marks/percentile in chemistry · Candidate who is older
2. The final ranking will be done after the tie is resolved.

### What is the process of JEE Main registration?

The below 5 steps to be followed to fill the registration form 1. Fill online form 2. Upload documents 3. Select the exam centre 4. Payment 5. Submit

### In how many centres, the Exam was conducted?

The Exam was conducted in a total of 605 centres

### How is NTA rank calculated?

The NTA will rank students based on their percentile marks, which will be calculated according to a pre-determined formula. I.e.

### How many candidates appeared in the Exam?

Over 8, 58,273 candidates have appeared in the Exam.

### What is the pattern of the Exam?

. JEE Main 2020 consists of 3 main subjects, namely, Mathematics, Physics and Chemistry. Paper 1 is for admission in B.E. /B. Tech. Courses- In paper
1- there are 25 questions from Mathematics, 25 from Physics and 25 from Chemistry; therefore, the total number of questions is 75. Each question will carry 4 marks, and each incorrect response gets -1 negative marking. The duration of the Exam is 3 hours (180 minutes). No negative marking is done for numerical questions. The maximum marks in the Exam are 300.Paper
2 is for admission in B. Arch - In paper 2- there are 25 questions from Mathematics, 50 from Aptitude test, 2 from Drawing Test; therefore, the total number of questions is 77. Each question will carry 4 marks, and each incorrect response gets -1 negative marking. The duration of the Exam is 3.30 hours. No negative marking is done for numerical questions. The maximum marks in the Exam are 400. Paper
3 is for admission in B. Planning courses- In paper 3- there are 25 questions from Mathematics, 50 from Aptitude test, 25 from Planning Based Objective Type MCQs, therefore, the total number of questions is 100. Each question will carry 4 marks, and each incorrect response gets -1 negative marking. The duration of the Exam is 3.30 hours (180 minutes). No negative marking is done for numerical questions. The maximum marks in the Exam are 400.

### is there any negative marking for the numerical question?

No negative marking is done for numerical questions.

### is there any age criteria set for JEE - Main?

There is no age criteria for the candidates in JEE Main.

### Is NCERT important for JEE Main?

NCERT is the most important textbook to prepare for JEE Main.

### Who conducts JEE counselling?

In JEE, the joint admission process conducted by Joint Seat Allocation Authority (JoSAA) 2020 for a total of 111 institutes for the academic year 2020-21.

### How to register for JEE Main counselling?

To register for JEE Main counselling below procedure to be followed:-
1. Online registration
2. Choice filling and locking
3. Seat allotment
4. Seat acceptance and Fee payment
5. Document Verification
6. Reporting to the allotted college

### Who announced the dates of counselling and when?

Joint Seat Allocation Authority (JoSAA) 2020 has announced counselling, starting from 6 October 2020.

### When the result was declared?

The JEE Main 2020 paper 1 result has been reported on 11 September 2020 on jeemain.nta.nic.in.

### Any dress code for JEE Main?

No, there is no as such dress code for JEE Mains. The only restrictions are for cap, scarf, jewellery, stoles, metallic items, etc.