AP EAMCET Maths Syllabus 2026 (Out) – Chapters, Weightage & Key Topics

ALGEBRA

• Functions: Types, definitions, domain, range, inverse functions and theorems.

• Mathematical Induction: Principle, theorems, applications, divisibility problems.

• Matrices: Types, scalar multiplication, multiplication, transpose, determinants & properties, adjoint, inverse, rank, consistency of equations, solutions of simultaneous equations.

• Complex Numbers: Ordered pairs, operations, a+ib form, modulus & amplitude, polar/Argand representation.

• De Moivre’s Theorem: Integral & rational indices, nth roots of unity, geometrical interpretation.

• Quadratic Expressions: Equations in one variable, sign changes, maxima/minima, quadratic inequations.

• Theory of Equations: Roots-coefficients relation, equations with special relations, complex roots, transformation & reciprocal equations.

• Permutations & Combinations: Counting principle, linear & circular permutations, with/without repetition, combinations & theorems.

• Binomial Theorem: Positive integral index, rational index, approximations.

• Partial Fractions: Non-repeated, repeated, and irreducible factors.

TRIGONOMETRY

• Ratios & Transformations: Graphs, periodicity, compound angles, multiple/sub-multiple angles, sum-product rules.

• Trigonometric Equations: General and simple solutions.

• Inverse Trigonometric Functions: Bijective form, graphs, properties.

• Hyperbolic Functions: Definitions, graphs, inverse functions, addition formulae.

• Properties of Triangles: Relations between sides/angles, sine, cosine, tangent, projection rules, half-angle, area, incircle, excircle.

VECTOR ALGEBRA

• Addition of Vectors: Triads, classification, addition, scalar multiplication, angles, components, linear combinations, equations of line/plane.

• Product of Vectors: Dot product, projections, properties, angle, plane equations, angle between planes, cross product, vector/triple products, skew lines, shortest distance, coplanarity.

• MEASURES OF DISPERSION & PROBABILITY

• Dispersion: Range, mean deviation, variance, standard deviation, coefficient of variation.

• Probability: Random experiments, classical & axiomatic definitions, addition & multiplication theorems, independent/dependent events, conditional probability, Bayes’ theorem.

• Distributions: Random variables, Binomial & Poisson distributions.

COORDINATE GEOMETRY

• Locus: Definition, equations, problems.

• Transformation of Axes: Rules, rotation, illustrations.

• Straight Line: Forms, intersections, families, concurrency, angles, perpendicular/parallel lines, distances, triangle properties.

• Pair of Lines: Equations through origin, conditions for perpendicular/parallel, bisectors, general second-degree equations.

• Circle: Standard form, equations from diameter/three points, tangents, normals, chords, poles, conjugates, pair of tangents, relative positions.

• System of Circles: Orthogonality, radical axis, radical center, common chord/tangent.

• Conic Sections:

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  • Parabola: Equations, forms, parametric, tangents, normals.

  • Ellipse: Equations, parametric, tangents, normals.

  • Hyperbola: Equations, parametric, tangents, normals, asymptotes.

• 3D Geometry:

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  • Coordinates, section formula, centroid of triangle/tetrahedron.

  • Direction Cosines & Ratios.

  • Plane: Cartesian equations, forms, simple problems.

CALCULUS

• Limits & Continuity: Intervals, neighborhoods, standard limits, continuity.

• Differentiation: Derivatives of functions, trigonometric/inverse/hyperbolic, higher-order, methods.

• Applications: Errors, approximations, tangents/normals, lengths, angles between curves, rates of change, Rolle’s & Lagrange’s theorems, increasing/decreasing, maxima/minima.

• Integration: Standard forms, substitution, algebraic, trigonometric, exponential, logarithmic, inverse trigonometric, parts, reduction, partial fractions.

• Definite Integrals: As limit of sum, area, properties, reduction formulae, applications.

• Differential Equations: Formation, degree/order, methods - separable, homogeneous, non-homogeneous, linear.

Trigonometry Related

10.41%

Probability & Statistics

9.17%

Algebra (Core)

8.75%

Binomial & Combinatorics

7.50%

Calculus (incl. Functions)

12.50%

Coordinate Geometry

30.83%

Matrices

5.42%

Complex Numbers

4.17%

Vector Algebra

8.33%

Others (Minor Topics)

2.91%

Total Questions

160

Type of Questions

Only Multiple Choice Questions(MCQ)

Subjects

Maths, Physics, Chemistry

Question Distribution

Maths : 80

Physics : 40

Chemistry : 40

Marking Scheme

Each question will carry one mark

No provision of negative marking