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TS LPCET - Syllabus
Telangana State Lateral Polytechnic Common Entrance Test
Pen & Paper Mode
Updated On - April 04 2023 by Divyansh K
Given below is the syllabus for TS LPCET:
Topics | Subtopics |
Algebra | 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. |
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)- Simple problems |
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 |
Topics | Subtopics |
Fundamentals of Chemistry | Atomic Structure Chemical Bonding Oxidation-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 limitations Ionic product of water Buffer solutions |
Environmental Studies-I | 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 |
Electrochemistry | 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.
Hindi Pandit:
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.
Urdu Pandit:
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.
Age Limit
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
₹ 500
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