JEE Main 2025 Mathematics syllabus will be released soon by NTA on the official website. This year 2 chapters were removed from the syllabus. Based on the previous years’ question paper, it can be said that chapters like Differential Equation, Coordinate Geometry, Sequence & Series and some more have the maximum weightage. Some easy chapters in Mathematics include Coordinate Geometry, Trigonometry, Integral Calculus etc. In 2025 you can expect 3-4 questions from each chapter.
JEE Main 2025 Updated Syllabus
The syllabus is of class 12th standard, and students preparing for their Boards can also ace with strategic preparation. You can download the entire Mathematics syllabus by clicking on the download link.
| JEE Main Syllabus PDFs | Links |
|---|---|
| JEE Main 2025 Mathematic Syllabus pdf | Download pdf here |
Easy Chapters in JEE Main Mathematics
The chapters in JEE Mains mathematics that are relatively easier to score well are listed below.
| Chapters | Topics |
|---|---|
| Coordinate 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 coordinate 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, coordinate 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, |
| Trigonometry | Trigonometric identities and trigonometric functions, inverse trigonometric functions, and their properties. |
| Differential Calculus | Ordinary differential equations, their order, and degree, the solution of differential equations by the method of separation of variables, solution of a homogeneous and linear differential equation. |
| Integral Calculus | Integral as an antiderivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities. 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. |
| Probability | Probability of an event, addition and multiplication theorems of probability, Bayes theorem, probability distribution of a random variate. |
Reasons for Considering These Chemistry Chapters Easy for JEE Main 2025 Exam
The above mentioned topics can help you score more in the exam. These chapters can be easily covered in less time. In 2024 a generous number of questions were asked from these chapters. The difficulty level of those questions were easy according to the students. Easy formula based questions are asked from these chapters and concepts are easily understandable. You should refer to previous years’ question papers to know the question pattern. You must not leave any chapter for the JEE Main exam but above mentioned chapters will make your preparation more easy.
Concepts of distance formula, section formula, equations of lines, circles, parabolas, etc are fairly straightforward and can be mastered with regular practice. Formulas and identities in trigonometry are important and with enough practice, questions from this section can be attempted confidently. Most of the students find Differentiation rules, applications of derivatives, and optimization problems easy as these are easily understandable. Integration by basic methods like substitution, parts, etc. are scoring and easy questions are asked from these topics. Concepts like permutations, combinations, binomial probability, etc. can give you a good score if you practise daily and have the concepts clear.
Must do Chapters to Secure passing Marks
Here are some easy and scoring chapters that can ensure your passing marks. If mathematics seems difficult to you then you must focus on these chapters to pass the exam. The chapters are mentioned below.
- Quadratic Equation
- Sequences & Series
- Binomial Theorem
- Mathematical reasoning
- Statistics
- Height and Distances
- Sets & Relations
- Straight line, circles
- Vector 3D
- Differential Calculus
The key to scoring well in these chapters is consistent practice of previous year question papers and thorough understanding of the underlying concepts. Focusing on these relatively easier topics can help students secure a solid base of 40+ marks in the mathematics section of JEE Mains.
Chapters With Highest Weightage
Some chapters are mentioned below that have maximum weightage in the JEE Main Exam.
| Chapters | Number of Questions Asked |
|---|---|
| Vectors and 3D geometry | 4-5 |
| Matrices 7 determinants | 2-3 |
| Integration | 2 |
| Sequences & series | 3 |
| Binomial theorem | 2-4 |
| Functions | 2-3 |
| Probability | 2 |
| Differential derivation | 1-2 |
Important Formulas for JEE Main 2025 Exam
| Chapters | Formulas |
|---|---|
| Coordinate Geometry | Distance formula: D = √[(x2 – x1)2 + (y2 – y1)2]Slope formula: m = (y2 – y1)/(x2 – x1)Angle between two lines: θ = tan − 1 | m 2 − m 1 1 − m 2 m 1 |Distance of a point from a line: d = | a x 1 + b y 1 + c a 2 + b 2 | Equation of a circle: (x−a)2+(y−b)2=r2, where (a,b) are the coordinates of the centre of the circle and r is the radius |
| Trigonometry | Double angle identities: sin 2θ = 2 sin θ cos θ, cos 2θ = cos²θ – sin²θ, and tan 2θ = 2 tan θ / (1 – tan²θ)Pythagorean identities: sin²θ + cos²θ = 1, tan²θ + 1 = sec²θ, and cot²θ + 1 = cosec²θSine and cosine law: a sin A = b sin B = c sin C, and c² = a² + b² – 2ab cos C Trigonometric ratios: sinθ = Opposite side / Hypotenuse, cosθ = Adjacent side / Hypotenuse, tanθ = Opposite side / Adjacent Side, secθ = Hypotenuse / Adjacent side, cosecθ = Hypotenuse / Opposite side, and cotθ = Adjacent Side / Opposite side |
| Differential Calculus | Bernoulli's equation: dy/dx + P(x)y = Q(x)y^n (for n ≠ 1)Linear differential equation: dy/dx + P(x)y = Q(x) Product rule: (d/dx) (fg)= fg' + gf'Derivative of a constant multiplied with function f: (d/dx) (a. f) = af'Power rule: (d/dx) (xn) = nxn-1Derivative of a constant: (d/dx) (a) = 0Sum rule: (d/dx) (f ± g) = f' ± g'Quotient rule: d d x ( f g ) = g f ′ – f g ′ g2Homogeneous differential equation: dy/dx = f(y/x) |
| Integral Calculus | Basic integration formulas∫ 1 dx = x + C, ∫ a dx = ax + C, ∫ xn dx = ((xn+1)/(n+1))+C, ∫ sin x dx = – cos x + C, ∫ cos x dx = sin x + C, ∫ sec2x dx = tan x + C, ∫ csc2x dx = -cot x + C, ∫ sec x (tan x) dx = sec x + CDefinite integral formulas∫ab f(x) dx = ∫ab f(t) d(t), ∫ab f(x) dx = – ∫ba f(x) dx, ∫aa f(x) dx = 0, ∫ab f(x) dx = ∫ac f(x) dx + ∫cb f(x) dx, ∫ab f(x) dx = ∫ab f(a + b – x) dx, ∫0a f(x) dx = f(a – x) dx Indefinite integral properties∫ k f(x) dx = k ∫ f(x) dx, ∫ - f(x) dx = - ∫ f(x), ∫ (f(x) ± g(x)) dx = ∫ f(x) dx ± ∫ g(x)) dx |
| Probability | Mutually exclusive events: The probability of either event A or event B occurring is the sum of their individual probabilities: P(A or B) = P(A) + P(B)Conditional probability: The probability of B given that A takes place is P(B/A) = n(A∩B)/n(A)Basic probability formula: The probability of an event “A” is P(A) = n(A)/n(S), where n(A) is the number of favourable outcomes and n(S) is the total number of events in the sample spaceStandard deviation: This measures the spread or variability of data |
Formulas play a crucial role in mathematics hence you need to cover all the formulas from the syllabus. You must focus on above mentioned formulas as they are easy to understand and easy to apply. Using these formulas you will be able to solve maximum questions from these chapters.
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