 TS LPCET - Syllabus

Telangana State Lateral Polytechnic Common Entrance Test

Form Date: 11 Jun - 15 Jul 2022 (Tentative)

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# TS LPCET 2022 Syllabus: Check subject wise Syllabus, Important Books.

Updated On - December 28 2021 by Amisha Kiran

TS LPCET 2022 Syllabus is released by the State Board of Technical Education and Training (SBTET), Hyderabad. Telangana State Lateral Polytechnic Common Entrance Test is a state-conducted examination to nominate candidates admission in various Polytechnic Institutions/Colleges of the Telangana State.  A syllabus will help the candidates to know how to go about preparing for the exam. Candidates can check TS LPCET Syllabus 2022 and other details regarding it from this article.

## TS LPCET 2022 Syllabus

Given below is the syllabus for TS LPCET:

### Mathematics Syllabus

 Topics Subtopics Algebra Logarithms: Definition of logarithm and its properties, natural and common logarithms; the meaning ofe 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 matrixup to 3rd order - Laplace’s expansion, properties of determinants. Singular and non -singular matrices - Adjoint and multiplicative inverse of a square matrix – related problems. Trigonometry 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)- Simpleproblems

### Physics Syllabus

 Topics Subtopics 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 Mechanics 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

### Chemistry Syllabus

 Topics Subtopics Fundamentals of Chemistry Atomic StructureChemical BondingOxidation-Reduction 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 limitationsIonic product of waterBuffer solutions Environmental Studies-I Environment - scope and importance of environmental studiesConcept 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 Electrochemistry Conductors, insulators, electrolytes – Types of electrolytes - Arrhenius theory of electrolytic dissociation

## TS LPCET 2022 Important Books

Given below are some of the books that candidates can refer to:

• Engineering Chemistry by Jain and Jain
• A Textbook of Engineering Chemistry by S.S. Dara
• Environmental Studies by A.K. De.
• Engineering Physics by R.K. Gaur, S.L. Gupta
• ISC Physics, Book I & II, by P. Vivekanandan, D.K. Banarjee, S. Chand
• NCERT Mathematics, Class 11th and 12th
• Plane Trigonometry by S.L. Looney
• Text Book of Matrices by Shanthi Narayana

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