JEE MAINS AND ADVANCED 2 YEARS COURSE

JEE Main examination was being conducted by the Central Board of Secondary Education (CBSE) till 2018. From 2019 onwards, the National Testing Agency (NTA) is vested with the authority to conduct the Joint Entrance Examination (JEE) Main examination. The major development in JEE Main is the exam will be held twice a year for admission to Undergraduate Engineering Programmes in IITs, NIT’s, IIIT’s and other Centrally Funded Technical Institutions. The Joint Entrance Exam will be conducted in two stages – JEE Main and JEE Advanced. JEE (Main) replaced the AIEEE entrance exam and JEE (Advanced) replaced the IIT-JEE entrance exam. Every year, over 25,000 Engineering and Architecture seats will be filled through the JEE Main score. The aim of the common entrance test has been mooted to reduce stress on students, who have to appear for multiple entrance examinations and to give greater relevance to the school education, especially the class 12 board examinations. National Testing Agency (NTA) NTA has been established as a premier, specialist, autonomous and self-sustained testing organization to conduct entrance examinations for admission/fellowship in higher educational institutions. 

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It is a newly formed body by the centre to conduct prestigious entrance examinations such as JEE Main and NEET UG. The Agency has also vested with all the authority to conduct the entrance examinations in the online mode from 2019 onwards. Here are some of the changes in JEE Main examination after the introduction of NTA. From the year 2019 onwards, candidates should have to appear for JEE Main in online mode only, but for one subject a candidate will have Pen and Paper Based mode to be attempted on Drawing Sheet Aspirants will have double the chance, more opportunity, NTA is going to be conducted JEE Main twice a year The candidates can pick desirable slots to appear in the exam owing to the flexibility and availability of sittings from January 08 to January 20 and April 07 to April 20 Students will have more time to prepare for their entrance exam because the exam will take place in the month of January and April The exam centres have been to 258 which include 248 exam centres in India and 9 centres in abroad countries In case of students who have appeared in both exams, the best of the two scores will be taken into account for the result Around 3000 practise test centres for JEE aspirants to train them for computer-based examination, which will be functioning from the August 2018. Click here to register for practise centre. There will be a normalisation process for the calculation of scores to have fair results JEE Main Exam Highlights Exam name Joint Entrance Exam (JEE) Main Conducted by National Testing Agency (NTA) Frequency Twice a year (January & April) except in 2021 Exam level National Mode of exam Online (Computer-based) Application mode Online Number of papers 2 (Paper 1 for B.E./B.Tech & Paper 2 for B.Arch/B.Planning) Duration 3 hours Type of questions Objective-type Official website www.jeemain.nic.in

Features of this course:

1.Course Duration: 350 hours+

*THIS COURSE WILL ONLY COVER THE MATHEMATICS SECTION FOR THE EXAM

2.Every week one to one session for every student.

3.All class recording will be available so that you don’t have to miss any. Although it’s advised to attend Live lectures.

4.Assignments to help problem solving.

Features of this course:

 

Syllabus

S.No.

Units

Topics

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,

2

Complex Numbers and 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.

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.

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.

5

Mathematical Induction

Principle of Mathematical Induction and its simple applications.

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.

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, Sn3. Arithmetico-Geometric progression.

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.

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.

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.

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.

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 between two 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.

12

Three Dimensional Geometry

Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines.

13

Vector Algebra

Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.

14

Statistics and Probability

Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.

15

Trigonometry

Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances

16

Mathematical Reasoning

Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive

Exam Pattern

 

FOR JEE MAIN

Parameters

JEE Main Exam Pattern Details

Exam Mode

Computer-based test mode

Exam Duration

3 hours (4 hours for persons with benchmark disabilities)

Subjects

Physics, Chemistry, and Mathematics

Total number of questions

90 (need to answer 75 questions) (Each subject will have 20 MCQs and 10 numerical ques out of which 5 is must)

Type of Questions

20 Objective questions having 4 options each with only 1 correct option
10 Numerical questions out of which 5 needs to be answered

JEE Main 2021 Marking Scheme

JEE Main Marking Scheme for Paper 1 is-

For MCQs – 4 Marks will be awarded for every correct answer and 1 Mark will be deducted for every incorrect answer

For answer with a numeric value – 4 Marks will be awarded for every correct answer and 0 Mark will be deducted for every incorrect answer

JEE Main Maximum Marks

300

JEE ADVANCED:

Particulars

Details

Mode of the examination

Computer-based examination

Medium of the examination

English and Hindi

Number of

The exam will have two compulsory papers- Paper 1 and Paper 2

Total time duration

3 hours for each paper (4 hours for PwD candidates)

Number of sections

Both the papers will have 3 sections-

 

Paper 1-

·       Physics

·       Chemistry

·       Mathematics

 

Paper 2-

·       Physics

·       Chemistry

·       Mathematics

Marking Scheme

The exam has a concept of full, partial and zero marks.

Reference Books:-

1.SKILL IN MATHEMATICS FULL SERIES BY ARIHANT PUBLICATION

*FOR EVERY CHAPTER STUDY MATERIAL WILL BE GIVEN IN WHICH YOU WILL GET ATLEAST 300+ QUESTIONS FROM EVERY TOPIC