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NATA Syllabus 2025 | NATA Sample Papers & Mock Tests 2025 - JEE

Syllabus for Mathematics

(i) Syllabus for Algebra

  • Definitions of A.P. and G.P.
  • General term.
  • Summation of first n-terms of series ∑n, ∑n2,∑n3.
  • Arithmetic/Geometric series, A.M., G.M., and their relation.
  • Infinite G.P. series and its sum.

(ii)  Syllabus for Logarithms

  • Definition.
  • General properties.
  • Change of base.

(iii) Syllabus for Matrices

  • Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices.
  • Transpose of a matrix.
  • Determinant of a square matrix.
  • Properties of determinants (statement only).
  • Minor, cofactor and adjoint of a matrix.
  • Non-singular Matrix.
  • Inverse of a matrix.
  • Finding the area of a triangle.
  • Solutions of systems of linear equations (Not more than 3 variables).

(iv)  Syllabus for Trigonometry

  • Trigonometric functions, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, the general solution of trigonometric equations.
  • Properties of triangles, inverse trigonometric functions, and their properties.

(v) Syllabus for Coordinate Geometry

  • Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane.
  • Polar coordinates the transformation from Cartesian to polar coordinates and vice versa.
  • Parallel transformation of axes, the concept of the locus, elementary locus problems.
  • Slope of a line.
  • The equation of lines in different forms, angle between two lines..
  • Condition of perpendicularity and parallelism of two lines.
  • Distance of a point from a line.
  • Distance between two parallel lines.
  • Lines through the point of intersection of two lines.
  • Equation of a circle with a given center and radius.
  • Condition that a general equation of second degree in x, y may represent a circle.
  • Equation of a circle in terms of endpoints of a diameter.
  • Equation of tangent, normal and chord. Parametric equation of a circle.
  • Intersection of a line with a circle.
  • Equation of the common chord of two intersecting circles.

(vi)  Syllabus for 3-Dimensional Coordinate Geometry

  • Direction cosines and direction ratios.
  • Distance between two points and section formula.
  • Equation of a straight line.
  • Equation of a plane.
  • Distance of a point from a plane.

(vii) Syllabus for Theory of Calculus

  • Functions, Composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and functions defined parametrically.
  • Integration as a reverse process of differentiation, indefinite integral of standard functions.
  • Integration by parts.
  • Integration by substitution and partial fraction.
  • Definite integral as a limit of a sum with equal subdivisions.
  • Fundamental theorem of integral calculus and its applications.
  • Properties of definite integrals.
  • Formation of ordinary differential equations, a solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.

(viii) Syllabus for Application of Calculus

  • Tangents and normals, conditions of tangency.
  • Determination of monotonicity, maxima, and minima.
  • Differential coefficient as a measure of the rate.
  • Motion in a straight line with constant acceleration.
  • Geometric interpretation of definite integral as an area, calculation of area bounded by elementary curves and Straight lines.
  • The area of the region included between two elementary curves.

(ix)  Syllabus for Permutation and Combination

  • Permutation of n different things taken r at a time (r ≤ n).
  • Permutation of n things not all different.
  • Permutation with repetitions (circular permutation excluded).
  • Combinations of n different things taken r at a time (r ≤ n).
  • Combination of n things not all different. Basic properties.
  • Problems involving both permutations and combinations.

(x)  Syllabus for Statistics and Probability

  • Measure of dispersion, mean, variance and standard deviation, frequency distribution
  • Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trials and Binomial distribution.

 Syllabus for General Aptitude

  • Objects, texture related to architecture and the built environment.
  • Interpretation of pictorial compositions, Visualising three-dimensional objects from the two-dimensional drawing.
  • Visualizing different sides of 3D objects.
  • Analytical reasoning, mental ability (visual, numerical and verbal), General awareness of national/ international architects and famous architectural creations.

 Syllabus for Mathematical Reasoning

  • Statements, logical operations like and, or, if and only if, implies, implied by.
  • Understanding of tautology, converse, contradiction, and contrapositive.

 Syllabus for Sets and Relations

  • Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan's Laws, Relation and its properties.
  • Equivalence relation — definition and elementary examples.

Syllabus for Drawing Test

  • "Understanding the important visual principles in a composition (2D OR 3D) such as balance, rhythm, direction, hierarchy, etc. 
  • Understanding geometry and the ability to visualize shape and solve geometrical puzzles to test spatial intelligence.
  • Understanding color theory and the various terminologies to test color scheme awareness and knowledge. 
  • Visual system interpretation and perception to test graphical similarities and other properties
  • Ability to understand spatial relationship between objects, and to visualize images and scenarios.
  • Tests for cognitive ability: perception, attention, recognition, memory etc.

Syllabus for Physics

  • Electrostatics- Electric charges and Fields; Electrostatic Potential and Clearance
  • Current Electricity; Magnetic Effects of Current and Magnetism; Moving Charges and magnetism; Magnetism and Matter
  • Electromagnetic Induction and Alternating currents
  • Optics- Ray optics and optical instruments, Wave Optics, Dual nature of radiation and Matter
  • Atoms, Nuclei
  • Electronic devices- Semiconductor Electronics, Materials, Devices, and Simple circuits.

 Syllabus for Chemistry

  • Some Basic Concepts of Chemistry; Structure of Atom; Classification of Elements and Periodicity in Properties
  • Chemical Bonding and Molecular; States of Matter: Gases and Liquids; Chemical Thermodynamics; Equilibrium; Redox Reactions; Hydrogen's- Block Elements p -Block Elements
  • Organic Chemistry: Some Basic Principles and Techniques; Hydrocarbons; Environmental Chemistry

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FAQs on NATA Syllabus 2025 - NATA Sample Papers & Mock Tests 2025 - JEE

1. What is the syllabus for General Aptitude in NATA 2025?
Ans. The syllabus for General Aptitude in NATA 2025 typically includes topics such as perception, reasoning, and the ability to visualize and think critically. It may cover areas like spatial visualization, analytical reasoning, and understanding of basic geometrical concepts.
2. How is Mathematical Reasoning assessed in the NATA exam?
Ans. Mathematical Reasoning in the NATA exam assesses a candidate's ability to think logically and solve problems using mathematical concepts. This includes topics like sequences and series, mathematical induction, and basic algebraic manipulations. Questions may involve interpreting numerical data and applying mathematical principles to real-world situations.
3. What topics are included in the Sets and Relations syllabus for NATA?
Ans. The Sets and Relations syllabus for NATA includes understanding the concepts of sets, subsets, universal sets, and operations on sets such as union, intersection, and difference. It also covers relations and functions, including types of relations, equivalence relations, and function properties.
4. What can candidates expect in the Drawing Test of NATA?
Ans. In the Drawing Test of NATA, candidates are expected to demonstrate their drawing skills and creativity. This includes sketching from memory, creating compositions based on given themes, and illustrating concepts related to architecture and design. The test aims to assess the candidate's visualization skills and artistic ability.
5. What is the syllabus for Physics and Chemistry in NATA 2025?
Ans. The syllabus for Physics and Chemistry in NATA 2025 covers fundamental topics from both subjects. For Physics, it includes mechanics, optics, thermodynamics, and properties of materials. For Chemistry, it encompasses physical chemistry, inorganic chemistry, and organic chemistry fundamentals. The focus is on applying scientific principles relevant to architecture and design.
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