JEE Main Mathematics Syllabus
JEE Main Mathematics Syllabus - NTA has released the official JEE Main 2020 maths syllabus. Students can find here the complete JEE Main maths syllabus in pdf form prescribed by the NTA. The JEE Main Mathematics syllabus 2020 provided here contains the detailed topics which are covered in exam. Candidates can found below JEE Main maths syllabus pdf download. Students must prepare for the exam only from the official 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 syllabus for Mathematics and give sufficient time to problem solving tactics. JEE Main exam has 25 questions from Mathematics, all objective in nature totalling 100 marks. JEE Main is being conducted as computer based test in online mode across various test centres. NTA JEE Main 2020 first attempt was conducted from January 6-9 while second attempt is rescheduled and is being held from September 1 to 6. Students can find more information about JEE Main Mathematics syllabus in the article below.
Latest: JEE Mains result 2020 declared. Final JEE Main 2020 answer key for paper 1 released.
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.
To Download the JEE Main Mathematics Syllabus - Click Here
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,
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.
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.
Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.
Principle of Mathematical Induction and its simple applications.
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances
Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive.
Frequently Asked Question (FAQs) - JEE Main Mathematics Syllabus
Question: Is NCERT book good while preparing for JEE Mains Mathematics syllabus?
NCERT is the base for JEE Main syllabus for Mathematics. Thus, it is good to be thorough with that
Question: Are questions asked excepting the topics of JEE Main syllabus?
Usually the questions asked in the exam are somewhat deviated but are from the syllabus itself.
Question: Will questions be asked from JEE Main Mathematics syllabus of class 11 also?
Yes, the JEE Main syllabus does include topics from class 11 syllabus.
Question: How many questions are asked for JEE Main Mathematics syllabus?
There are total 25 questions asked for Mathematics section in JEE Main.
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Questions related to JEE Main
If I take admission NIT KKR in 2020 and deposits 4 years fee to reappear in Jeemain 2021.If I gets good NIT in 2021 then is it possible to return my 4 year fee paid in 2020.Please answer.
You don't need to pay the fee of 4 years all at a once. Fees are deposited semester wise. No need to worry for that. NIT Kurukshetra is a reputed one. If you want to change the branch or get better NIT you can appear for JEE Main 2021.
Note it again that fees are not taken all at a once but semester wise. All the best.
I have CRL rank 59200in jee mains.Can l get seat in cbit through b-category and in which branch?
seats through b category in CBIT is based on following points:
The admission will be strictly on the basis of merit obtained
firstly in JEE (Mains) CRL Rank,
secondly TS EAMCET-2020 Rank and
thirdly IPE Marks (TSBIE) (or) CBSE + 2 marks (or) any other equivalent examination [should obtain equivalent certificate from Telangana State Board of Intermediate Education (TSBIE)].
Also it is to be noted that Unlike TS eamcet cutoff the b category cutoff for a college has a lots of variations year to year. It is because the kind of students applying for b category is not always the same.
However, It is more preferential to have a rank under 25k and minimum of 51k to get a seat in the desired branch, according to the students studying there. for 59200 crl i think it might get quite difficult for you however, you may have chances, less though. Also with this rank you may not get branch of your choice in CBIT.
Hope it helps!
when will jee mains registration for 2021 will start?
JEE Main 2021 Application process will get started from first week of December 2020 (January session) through online mode. Students will be able to register themselves for JEE Main through NTA website. For the April session, the registration will begin from first week of February 2021.
All the best.
Jee mains ki padaai ke liye kon kon se online study plaform h for hindi medium . jaha test series bhi hindi medium mein ho
Youtube sabse best platform hai online study ke liye chahe voh hindi medium me ho ya english medium me. Youtube pr kaafi reputed channels hai jo jee mains ki padhai ka syllabus cover krte hai jaise: Physicswallah (personally recommended) Unacademy, vedantu, mathswallah, tyagi sir etc.
physicswallah, unacademy aur vedantu acche hai lekin inke test series english me available hai.
aap embibe aur gradeup ke test series check karo unke pass hindi me bhi test series available hai. Ye dono kaafi famous sites hai jee mains prep keliye.
ALL THE BEST!
If I take admission in NIT KKR Mechanical branch in 2020.Whether can I attend Jeemains 2021 and Jee Advance 2021 again.Please answer.
If you take admission this year and want to reappear for jee 2021 then you will have to pay the fees for all the four years in NIT KKR. And you cannot focus both on jee and your first year of engineering equally either of your preparation will degrade and you might end up losing both. If you are sure that you will get a better college than nit kkr and are confident only then consider taking a drop because handling both jee and engineering at once is difficult and will exhaust soon. Hope my answer solved your query. All the best