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# eamcet.tsche.ac.in Syllabus 2021 : Telangana State Engineering, Agriculture & Medical Common Entrance Test

Organisation : TSCHE Telangana State Council of Higher Education
Exam Name : Telangana State Engineering, Agriculture & Medical (Pharmacy, Veterinary etc.,) Common Entrance Test TS EAMCET 2021
Announcement : TS EAMCET 2021 Syllabus
Website : https://eamcet.tsche.ac.in/TSEAMCET/Syllabus.aspx

## TSCHE EAMCET Syllabus

The syllabus is in tune with the syllabus adapted by the Telangana State Board of Intermediate Education (TSBIE) for Intermediate course with effect from the academic year 2019-2020 (1st year) (100%) and 2020-2021 (2nd year) (70%) and is designed at the level of Intermediate Course and equivalent to 10 + 2 (10 plus 2) scheme of Examination conducted by Telangana State Board of Intermediate Education.

Related / Similar Syllabus : TSCHE ECET 2021 Syllabus The syllabus is designed to indicate the scope of subjects included for TS EAMCET-2021. The topics mentioned therein are not to be regarded as exhaustive. Questions may be asked in TS EAMCET-2021 to test the student’s knowledge and intelligent understanding of the subject. The syllabus is applicable to students of both the current and previous batches of Intermediate Course, who desire to appear for TS EAMCET- 2021.

## TS EAMCET Engineering Syllabus

Mathematics :
1) Algebra :
a) Functions: Types of functions – Definitions – Inverse functions and Theorems – Domain, Range, Inverse of real valued functions.

b) Mathematical Induction: Principle of Mathematical Induction & Theorems – Applications of Mathematical Induction – Problems on divisibility.

c) Matrices: Types of matrices – Scalar multiple of a matrix and multiplication of matrices – Transpose of a matrix – Determinants – Adjoint and Inverse of a matrix – Consistency and inconsistency of Equations- Rank of a matrix – Solution of simultaneous linear equations.

d) Complex Numbers: Complex number as an ordered pair of real numbers – fundamental operations – Representation of complex numbers in the form ??+????.

e) De Moivre’s Theorem: De Moivre’s theorem- Integral and Rational indices – nth roots of unity- Geometrical Interpretations – Illustrations.

f) Quadratic Expressions: Quadratic expressions, equations in one variable – Sign of quadratic expressions – Change in signs – Maximum and minimum values.

g) Theory of Equations: The relation between the roots and coefficients in an equation – Solving the equations when two or more roots of it are connected by certain relation – Equation with real coefficients, occurrence of complex roots in conjugate pairs and its consequences – Transformation of equations – Reciprocal Equations.

h) Permutations and Combinations: Fundamental Principle of counting – linear and circular permutations- Permutations of ‘n’ dissimilar things taken ‘r’ at a time – Combinations – definitions, certain theorems.

i) Binomial Theorem: Binomial theorem for positive integral index – Binomial theorem for rational Index (without proof).

j) Partial fractions: Partial fractions of f(x)/g(x) when g(x) contains non – repeated linear factors – Partial fractions of f(x)/g(x) when g(x) contains repeated and/or non-repeated linear factors – Partial fractions of f(x)/g(x) when g(x) contains irreducible factors only. 2) Trigonometry:
a) Trigonometric Ratios up to Transformations: Graphs and Periodicity of Trigonometric functions – Trigonometric ratios and Compound angles – Trigonometric ratios of multiple and sub- multiple angles – Transformations – Sum and Product rules.

b) Trigonometric Equations: General Solution of Trigonometric Equations – Simple Trigonometric Equations – Solutions.

c) Inverse Trigonometric Functions: To reduce a Trigonometric Function into a bijection – Graphs of Inverse Trigonometric Functions – Properties of Inverse Trigonometric Functions.

d) Hyperbolic Functions: Definition of Hyperbolic Function – Graphs – Definition of Inverse Hyperbolic Functions – Graphs – Addition formulae of Hyperbolic Functions.

e) Properties of Triangles: Relation between sides and angles of a Triangle – Sine, Cosine, Tangent and Projection rules – Half angle formulae and areas of a triangle – Incircle and Excircle of a Triangle.

3) Vector Algebra:
a) Addition of Vectors: Vectors as a triad of real numbers – Classification of vectors – Addition of vectors – Scalar multiplication – Angle between two nonzero vectors – Linear combination of vectors – Component of a vector in three dimensions – Vector equations of line and plane including their Cartesian equivalent forms.

b) Product of Vectors: Scalar Product – Geometrical Interpretations – orthogonal projections – Properties of dot product – Expression of dot product in system – Angle between two vectors – Geometrical Vector methods – Vector equations of plane in normal form – Angle between two planes – Vector product of two vectors and properties – Vector product in system – Vector Areas – Scalar Triple Product – Vector equations of plane in different forms, skew lines, shortest distance and their Cartesian equivalents.