TS-LPCET - 2024

  TS LPCET Lateral Entry into Polytechnic Common Entrance Test is conducted by State Board of Technical Education and Training, Hyderabad for the qualified ITI candidates who are seeking admission into 2nd Year Diploma Courses offered in Government, Government- Aided, Private Un-Aided Polytechnics and 2nd Shift Polytechnics

  Candidates who have passed ITI course( 2 Years) having 60% marks along with Bridge Course conduct by the Department of Employment and Training (DET) are eligible.

Mathematics Syllabus

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.

Physics Syllabus

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

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

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