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TS LPCET - Syllabus

Telangana State Lateral Polytechnic Common Entrance Test

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

Pen & Paper Mode

Updated On - December 28 2021 by Amisha Kiran

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:

- 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

11 Jun 2022

15 Jul 2022

22

25 Jul 2022

₹ 500

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