TS LPCET - Syllabus
Telangana State Lateral Polytechnic Common Entrance Test
Form Date: 11 Jun - 15 Jul 2023 (Tentative)
Pen & Paper Mode
Updated On - April 04 2023 by Divyansh K
Given below is the syllabus for TS LPCET:
Logarithms: Definition of logarithm and its properties, natural and common logarithms; the meaning of
e and exponential function, logarithm as a function and its graphical representation– Solve some simple problems.
Partial Fractions: Rational, proper and improper fractions of polynomials.
Matrices and Determinants: Definition of matrix, types of matrices - examples, algebra of matrices - equality of two matrices, sum, difference, scalar multiplication and product of matrices. Transpose of a Matrix Symmetric, Skew symmetric matrices - Minor, cofactor of an element - Determinant of a square matrix
up to 3rd order - Laplace’s expansion, properties of determinants. Singular and non -singular matrices - Adjoint and multiplicative inverse of a square matrix – related problems.
Compound angles: Formulae of Sin (A±B), Cos(A±B), Tan (A±B), Cot (A±B), and related identities with problems- Derive the values of sin150, cos150, sin750, cos750, tan 150, tan750 etc. -Derive identities like sin(A+B) sin(A-B) = sin2A – sin2B etc.
Multiple and sub-multiple angles: Trigonometric ratios of multiple angles 2A, 3A and submultiples angle A/2 with problems.
|Algebra and Trigonometry|
Transformations: Transformation of products into sums or differences and vice versa simple problems - Solve problems by applying these formulae to sum or difference or product of three or more terms.
Inverse trigonometric functions: Define inverses of six trigonometric functions along with their domains and ranges - Derive relations between inverse trigonometric functions so that given A=sin-1x, express angle A in terms of other inverse trigonometric functions- with examples.
Solution of Simultaneous equations using Matrices & Determinants.: System of linear equations in 3 Variables - Solutions by Cramer’s rule, Matrix inversion method –Examples- Elementary row operations on Matrices-Gauss - Jordan method to solve a system of equations in 3 unknowns.
Solutions of triangles: Solve a triangle when (i) three sides (SSS) (ii) two sides and an included angle (SAS) (iii) one side and two angles are given (SAA)- Simple
Units, Dimension and Friction
Physical quantity - Fundamental and derived quantities – Unit – definitions - S.I units - Advantages of S.I. units - Dimensions and dimensional formula - definitions -units and dimensional formula for physical quantities -Principle of homogeneity - Applications of dimensional analysis – Friction
|Elements of Vectors|
Scalar and vector quantities – definitions and examples – Graphical representation of a vector - Classification of vectors
Projectile motion– definition- examples - Horizontal projection – Time of flight and Horizontal range –derivations - Oblique projection
|Properties of Matter|
Elasticity and plasticity- definitions - Stress and Strain–definitions and expressions- elastic limit- Hooke’s law –statement- modulus of elasticity
|Heat and Thermodynamics|
Heat– expansion of gases- Boyle’s law– concept of absolute zero- Absolute scale of temperature – Charles’ laws - Ideal gas equation
|Conservation Laws and Energy Sources|
Work and Energy - Potential Energy and kinetic energy – examples – expressions for PE and KE - derivations -Work - Energy theorem – derivation – Law of conservation of energy
|Fundamentals of Chemistry|
|Solution and Colloids|
Introduction - Classification of solutions based on physical state - Molecular weights, Equivalent weights - Expression of concentration – Mole concept, Molarity, Normality, Numerical problems on Mole, molarity and normality - Colloids - Types of colloids - Lyophilic and Lyophobic - Industrial applications of colloids
|Acids and Bases|
Theories of acids and bases and limitations
Ionic product of water
Environment - scope and importance of environmental studies
Concept of ecosystem, producers, consumers and decomposers - Biodiversity, definition and threats to Biodiversity - Forest resources - Overexploitation -Deforestation.
|Water Technology||Soft and hard water- causes of hardness – types of hardness - disadvantages of hard water - degree of hardness (ppm) - softening methods - permutit process - ion exchange process|
Conductors, insulators, electrolytes – Types of electrolytes - Arrhenius theory of electrolytic dissociation
Given below are some of the books that candidates can refer to:
2. The applicant must be a resident of Telangana district only and must meet the requirements of the Local / Non-Local environment as set out in the Telangana District Education Institutions or 1974 as amended later.
You must have a Hindi Degree in Hindi as an optional course / Graduation in Hindi Literature / Bachelor in Oriental Language (BOL) in Hindi / Post Graduation Degree in Hindi with 50% marks (SC / ST / BC / PH -45% Marks) from a recognized university / college.
You must have a Urdu Degree as one of the optional subjects / Graduation in Urdu Literature / Bachelor's Degree in Oriental Language (BOL) in Urdu / Post Graduation Degree in Urdu with a minimum mark of 50% (SC / ST / BC / PH -45% Marks) from a recognized university / college.
Candidates must be 19 years old from July 01-07-2023. There is no age limit.
11 Jun 2023
15 Jul 2023
25 Jul 2023
Model question paper