JEE Main 2024 Mathematics Pattern Highlights
- JEE Main 2024 Mathematics paper or section will have two types of questions i.e. MCQ and Numeric value.
- The MCQs will have 4 options with only 1 correct option or answer.
- The Non-MCQs or Numeric Value questions will have numerical value as an answer that candidates will have to enter as an integer or decimal value.
- 4 Marks will be awarded to correct answers and 1 Mark will be deducted for incorrect answers.
- In the case of Non-MCQ questions, no negative marking will be there.
\begin{array}{|c|c|}
\hline \text { Mode of Examination } & \text { Online } \\
\hline \text { Total Number of Questions in Mathematics } & 30 \\
\hline \text { Total Number of Questions to be Attempted } & 25 \\
\hline \text { Type of Questions } & \text { MCQ and Non-MCQs } \\
\hline \text { Marking Scheme } & \text { Correct Answer: }+4 \\
\hline \text { Negative Marking } & \text { Incorrect Answer: }-1 \text { & No Negative Marking for Non-MCQs } \\
\hline \text { Medium of Paper } & \text { English, Hindi, Gujarati } \\
\hline
\end{array}
\)
Weightage of Topics in JEE Main 2024 Mathematics
Based on the trends of previous years the topics wise weightage is mentioned in the table below. However, this weightage could vary every year depending upon the syllabus and exam pattern.
\(\begin{array}{|c|c|c|}
\hline \text { Topics } & \text { No of Questions } & \text { Weightage of Marks } \\
\hline \text { Matrices and Determinants } & 2 & 8 \\
\hline \text { Vector Algebra } & 2 & 8 \\
\hline \text { Three Dimensional Geometry } & 2 & 8 \\
\hline \text { Complex numbers and Quadratic Equation } & 2 & 8 \\
\hline \text { Limits, Continuity, and Differentiability } & 3 & 12 \\
\hline \text { Integral Calculus } & 3 & 12 \\
\hline \text { Coordinate Geometry } & 5 & 20 \\
\hline \text { Trigonometry } & 1 & 4 \\
\hline \text { Statics and Dynamics } & 1 & 4 \\
\hline \text { Statistics and Probability } & 2 & 8 \\
\hline \text { Sets, Relation, and Function } & 1 & 4 \\
\hline \text { Sequences and Series } & 1 & 4 \\
\hline \text { Binomial Theorem and Its Application } & 1 & 4 \\
\hline \text { Differential Equation } & 1 & 4 \\
\hline \text { Differential Calculus } & 1 & 4 \\
\hline \text { Permutations and Combinations } & 1 & 4 \\
\hline \text { Mathematical Reasoning } & 1 & 4 \\
\hline \text { Total } & 30 & 120 \\
\hline
\end{array}
\)
JEE Main 2024 Mathematics Marking Scheme Overall Marking Scheme
\(\begin{array}{|c|c|c|}
\hline \text { Subjects } & \text { Maximum Questions } & \text { Maximum Marks } \\
\hline \text { Physics } & 30 & 100 \\
\hline \text { Chemistry } & 30 & 100 \\
\hline \text { Mathematics } & 30 & 100 \\
\hline \text { Total } & 90 \text { questions } & 300 \text { marks } \\
\hline
\end{array}
\)
Per Question Marking Scheme
\(\begin{array}{|c|c|c|}
\hline \text { Type of question } & \text { Negative marking for wrong answer } & \text { Marking for correct answer } \\
\hline \text { MCQs } & -1 \text { Mark } & +4 \text { Marks } \\
\hline \text { Numeric Value Questions } & \text { No negative marking } & +4 \text { Marks } \\
\hline
\end{array}
\)
Best books for JEE Main Maths
Candidates can check the list of best books for IIT JEE Mathematics below.
\(\begin{array}{|l|l|l|}
\hline \text { S.No } & \text { Name of the book and author } & \text { Book will be best for JEE Main} \\
\hline 1 . & \text { Objective Mathematics by R D Sharma } & \text { Basics of every topic } \\
\hline 2 . & \text { Plane Trigonometry by S L Loney } & \text { Trigonometry } \\
\hline 3 . & \text { The Elements Of Coordinate Geometry by S L Loney } & \text { Coordinate Geometry } \\
\hline 4 . & \text { Algebra by Dr S K Goyal Arihant Publications } & \text { Algebra } \\
\hline 5 . & \text { Play with Graphs by Amit M Agarwal (Arihant Publications) } & \text { For solving problems } \\
\hline 6 . & \text { Differential Calculus by Amit M Agarwal (Arihant Publications) } & \text { Calculus } \\
\hline 7 . & \text { Integral Calculus by Amit M Agarwal (Arihant Publications) } & \text { Calculus } \\
\hline 8 . & \text { Complete mathematics for JEE Main TMH } & \text { For an explanation of topics } \\
\hline
\end{array}
\)
IIT JEE MATHEMATICS SYLLABUS
UNIT 1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation: Union, intersection, and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.
UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a \(+\mathrm{ib}\) and their representation in a plane, Argand diagram, algebra of complex number, modulus, and argument (or amplitude) of a complex number, Quadratic equations in real and complex number system and their solutions Relations between roots and co-efficient, nature of roots, the formation of quadratic equations with given roots.
UNIT3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and, Test of consistency and solution of simultaneous linear equations in two or three variables using matrices.
UNIT 4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of \(P(n, r)\) and \(C(n, r)\), simple applications.
UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term and middle term, and simple applications.
UNIT 6: SEQUENCE AND SERIES:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.
UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. 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, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable.
UNIT 8: INTEGRAL CALCULAS:
Integral as an anti-derivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.
Evaluation of simple integrals of the type
\(
\begin{aligned}
& \int \frac{d x}{x^2+a^2}, \int \frac{d x}{\sqrt{x^2 \pm a^2}}, \int \frac{d x}{a^2-x^2}, \int \frac{d x}{\sqrt{a^2-x^2}}, \int \frac{d x}{a x^2+b x+c}, \int \frac{d x}{\sqrt{a x^2+b x+c}}, \int \frac{(p x+q) d x}{a x^2+b x+c}, \\
& \int \frac{(p x+q) d x}{\sqrt{a x^2+b x+c}} \int \sqrt{a^2 \pm x^2} d x, \int \sqrt{x^2-a^2} d x
\end{aligned}
\)
The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
UNIT 9: DIFFRENTIAL EQUATIONS
Ordinary differential equations, their order, and degree, the solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
\(
\frac{d y}{d x}+p(x) y=q(x)
\)
UNIT 10: CO-ORDINATE GEOMETRY
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.
Straight line
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, co-ordinate of the centroid, orthocentre, and circumcentre of a triangle,
Circle, conic sections
A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, 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 sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms,
UNIT 11: THREE DIMENSIONAL GEOMETRY
Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, and the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line.
UNIT 12: VECTOR ALGEBRA
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products.
UNIT 13: STATISTICS AND PROBABILITY
Measures of discretion; 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.
UNIT 14: TRIGONOMETRY
Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions, and their properties.