TS-LPCET 2026

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

official site-https://www.sbtet.telangana.gov.in/