JEE Main Mathematics Syllabus
Satyendra Singh, 03 Sep 2019, #JEE Main
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JEE Main Mathematics Syllabus - NTA has released the official syllabus of JEE Main 2020 in online mode on Septemmber 2. Students can find here the Mathematics syllabus for JEE Main 2020 prescribed by the NTA. The JEE Main Mathematics syllabus provided here contains the detailed topic wise information about the subject as is followed by NTA. Students must prepare for the exam only from the prescribed JEE Main Mathematics syllabus as questions are framed within its vicinity. Mathematics, being calculative in nature, requires a special analytical approach towards problem solving. Students are thus advised to prepare a study plan by selecting topics from JEE Main Mathematics syllabus and give sufficient time to problem solving tactics. JEE Main exam has 30 questions from Mathematics, all objective in nature totalling 120 marks. JEE Main will be conducted as computer based test in online mode across various test centres. JEE Main 2020 first attempt will be conducted from January 6-11 while second attempt will be held from April 3-9. Students can find more information about JEE Main Mathematics syllabus in the article below.
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JEE Main Mathematics Syllabus 2020

Students are given below the Mathematics syllabus for JEE Main to prepare for the exam. Students are advised to strictly follow the official syllabus for JEE Main for the preparation of exam.

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.

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most important topic in physics for jee mains??

Mayank Chowdhary 14th Nov, 2019
Most important topics like frequently asked questions are from -

  1. Kinemetics that is from projectile motion, circular motion, rotational motion, oscillations, force, work, energy, power,etc.
  2. A scoring section is Modern Physics too which includes Semiconductors, Atoms Molecules and Nuclei, Electrons and Photons.
  3. Then not very important but little important topic is waves and sound too - Ray Optics, Refraction of Light, sound waves, wave theory of light, stationary waves, etc.

Thank you.
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how to prepare for jee mains paper 2

Aditi Amrendra Student Expert 13th Nov, 2019
Hello,


So, basically JEE mains paper 2 has 3 sections:
Math
Aptitude
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For maths, the questions are quite similar to that of JEE mains paper 1. So, if you are preparing dedicatedly for jee then paper 2 will be for you for this paper.
Then comes aptitude and for that i would suggest you to do extensive study from online sources.
Go through the syllabus and completes topics one by one.Also aptitude is scoring and not that difficult.
For doing just practice as much as you can.
Paper 2 is not very difficult and you can easily get a good score by preparing withy right strategy.

Good Luck
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what are the maths easy,tough and hard topics for jee mains

Sourandhi Saha Student Expert 13th Nov, 2019
Maths is considered as the most difficult subjects in Jee mains. But if you practice regularly, it will not seem difficult to you. In Jee Mains, out of 25 questions in Maths, 5 questions come from coordinate geometry. 3 questions from Limits, Continuity and Differentiability, another 3 questions from Integral Calculus. These are the most important chapters. So practice thoroughly. Another important chapters are Statistics, probability, vector algebra, three dimensional geometry, Complex numbers and Quadratic Equation, Matrices and Determinants.
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what is Qualifying mark for jee main in January 2020? Pwd Category

Abhinandan Patel 13th Nov, 2019
Jee mains 2020 has not been conducted till now..
You will get the qualification marks after the result gets declared..
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Ive completed my intermediate in 2019 and didnt attempted jee mains and advance. Am I eligible to to appear for jee mains and advance in the coming two years, 2020 and 2021

_Abhishek_Vatsya Student Expert 13th Nov, 2019
Hey!There
There is no age limit for JEE MAINS.You can appear in JEE MAINS consecutively for three years.This exam happens twice in a year.And you can sit consecutively in JEE ADVANCE for two years.So you can appear in both entrance EXAMINATION in 2020 and aslo in 2021.
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