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JEE Main Maths Syllabus 2024 (Released) - Download JEE Mathematics Topics Wise Syllabus PDF

JEE Main Maths Syllabus 2024 (Released) - Download JEE Mathematics Topics Wise Syllabus PDF

Edited By Team Careers360 | Updated on Apr 06, 2024 10:57 AM IST | #JEE Main

JEE Main 2024 Mathematics Syllabus - NTA has released the JEE Main Mathematics syllabus 2024 online at jeemain.nta.ac.in. The JEE Mains Maths syllabus pdf 2024 comprises topics from classes 11 and 12 respectively. JEE Main aspirants can download the JEE Maths 2024 syllabus pdf along with the removed topics on this page. JEE Main 2024 syllabus pdf will help candidates prepare for the JEE Mains 2024 exam.

JEE Main Maths Syllabus 2024 (Released) - Download JEE Mathematics Topics Wise Syllabus PDF
JEE Main Maths Syllabus 2024 (Released) - Download JEE Mathematics Topics Wise Syllabus PDF

Mathematics requires more attention and practice as it is considered to be a challenging and lengthy paper. To boost their preparation candidates can refer to the JEE Main previous year question papers. Along with the JEE Main Maths syllabus, candidates must go through the JEE Main exam pattern.

Students must prepare for the exam using the official JEE Main Mathematics syllabus 2024 as the questions will be asked from the given topics. Mathematics is calculative and requires a special analytical approach to problem-solving. According to the previous year trends, several questions were framed from Differential Calculus, Integral Calculus, Binomial theorem, Permutation and combinations, Coordinate geometry, Vector, 3D and other topics. Candidates are advised to complete the entire Mathematics syllabus of JEE Main 2024 and then practice the JEE Main mock test to check the level of preparation. Students can find more information about the JEE Main Syllabus for Maths in the article below.

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JEE Main Maths Syllabus 2024

Candidates can check the IIT JEE Maths syllabus to prepare for the exam. Moreover, check the JEE Main syllabus with weightage pdf to know which topics are very important for preparation. Students are advised to strictly follow the JEE Main syllabus of Mathematics 2024 for preparation for the exam. Moreover, candidates can also download the JEE Main 2024 best book for preparation. Below is the link to download the JEE Main Maths 2024 syllabus below.
Download the detailed JEE Main Maths Syllabus 2024

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JEE Main 2024 Mathematics Syllabus

Below are the important topics as per the JEE Maths syllabus pdf. Candidates can check IIT JEE Maths syllabus and plan their strategy accordingly.

JEE Main Syllabus for Maths 2024

Units

JEE Mathematics Syllabus

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,

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 coefficients, nature of roots, formation of quadratic equations with given roots.

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.

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.

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.

Sequences and Series

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum up to n terms of special series: S n, S n2, Sn3. Arithmetico-Geometric progression.

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 up to 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 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.


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.

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 the equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the endpoints 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.

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, and coplanar lines.

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.

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.

Trigonometry

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

JEE Main Maths Syllabus 2025- Deleted topics

Candidates will be glad to know that NTA has dropped several units and topics from the JEE Main 2024 syllabus. Candidates should carefully go through the updated syllabus provided in the table above. JEE Mains syllabus for Maths has been updated with reference to the official notification released on nta.ac.in. The JEE Main deleted syllabus includes:

  • MATHEMATICAL INDUCTIONS
  • THREE DIMENSIONAL GEOMETRY
  • MATHEMATICAL REASONING
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Frequently Asked Question (FAQs)

1. Is NCERT book good while preparing for JEE Mains 2024 Mathematics syllabus?

NCERT is the base for JEE Main syllabus for Mathematics. Thus, it is good to be thorough with that

2. Are questions asked except the topics of JEE Main syllabus?

Usually, the questions asked in the exam are somewhat deviated but are from the syllabus itself.

3. 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.

4. 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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 5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be 3.820C.  If Na2SO4 is 81.5% ionised, the value of x (Kf for water=1.860C kg mol−1) is approximately : (molar mass of S=32 g mol−1 and that of Na=23 g mol−1)
Option: 1  15 g
Option: 2  25 g
Option: 3  45 g
Option: 4  65 g  
 

 50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl.  If pKb of ammonia solution is 4.75, the pH of the mixture will be :
Option: 1 3.75
Option: 2 4.75
Option: 3 8.25
Option: 4 9.25
 

CH_3-CH=CH-CH_3+Br_2\overset{CCl_4}{\rightarrow}A

What is A?

Option: 1

CH_3-CH(Br)-CH_2-CH_3


Option: 2

CH_3-CH(Br)-CH(Br)-CH_3


Option: 3

CH_3-CH_2-CH_2-CH_2Br


Option: 4

None


\mathrm{NaNO_{3}} when heated gives a white solid A and two gases B and C. B and C are two important atmospheric gases. What is A, B and C ?

Option: 1

\mathrm{A}: \mathrm{NaNO}_2 \mathrm{~B}: \mathrm{O}_2 \mathrm{C}: \mathrm{N}_2


Option: 2

A: \mathrm{Na}_2 \mathrm{OB}: \mathrm{O}_2 \mathrm{C}: \mathrm{N}_2


Option: 3

A: \mathrm{NaNO}_2 \mathrm{~B}: \mathrm{O}_2 \mathrm{C}: \mathrm{Cl}_2


Option: 4

\mathrm{A}: \mathrm{Na}_2 \mathrm{OB}: \mathrm{O}_2 \mathrm{C}: \mathrm{Cl}_2


C_1+2 C_2+3 C_3+\ldots .n C_n=

Option: 1

2^n


Option: 2

\text { n. } 2^n


Option: 3

\text { n. } 2^{n-1}


Option: 4

n \cdot 2^{n+1}


 

A capacitor is made of two square plates each of side 'a' making a very small angle \alpha between them, as shown in the figure. The capacitance will be close to : 
Option: 1 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 - \frac{\alpha a }{4 d } \right )

Option: 2 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 + \frac{\alpha a }{4 d } \right )

Option: 3 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 - \frac{\alpha a }{2 d } \right )

Option: 4 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 - \frac{3 \alpha a }{2 d } \right )
 

 Among the following compounds, the increasing order of their basic strength is
Option: 1  (I) < (II) < (IV) < (III)
Option: 2  (I) < (II) < (III) < (IV)
Option: 3  (II) < (I) < (IV) < (III)
Option: 4  (II) < (I) < (III) < (IV)
 

 An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant.  If during  this process the relation of pressure P and volume V is given by PVn=constant,  then n is given by (Here CP and CV are molar specific heat at constant pressure and constant volume, respectively)
Option: 1  n=\frac{C_{p}}{C_{v}}


Option: 2  n=\frac{C-C_{p}}{C-C_{v}}


Option: 3 n=\frac{C_{p}-C}{C-C_{v}}

Option: 4  n=\frac{C-C_{v}}{C-C_{p}}
 

As shown in the figure, a battery of emf \epsilon is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = tc (tc is the time constant of the circuit ) is : 


Option: 1 \frac{\epsilon L }{R^{2}} \left ( 1 - \frac{1}{e} \right )
Option: 2 \frac{\epsilon L }{R^{2}}


Option: 3 \frac{\epsilon R }{eL^{2}}

Option: 4 \frac{\epsilon L }{eR^{2}}
 

As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed  of the particle at B is x m/s. (Take g = 10 m/s2 ) The value of 'x' to the nearest is ___________.
Option: 1 10
Option: 2 20
Option: 3 40
Option: 4 15

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