TS Intermediate Syllabus 2027: Telangana 12th Class PDF

Sections

Topics

Comprehension and Composition

• Punctuation
• Letter Writing
• Dialogue writing
• Note making
• Comprehension Passages

Prose

Dancing in the rain, Opportunities for Youth, To Sir with love, Polluting the world, The SandBox.

Poetry

I celebrate myself, The magical Earth, Polonius’ advice to his Son, Footprints on the Sand, What kind of place.

Short Story

The Boy who broke the bank, Parige, My Elder brother, The Awakening, Don’t die, Hilton, don’t die.

Chapters

Topics

Complex Numbers

• Complex number as an ordered pair of real numbers and fundamental operations
• Representation of complex numbers in the form a+ib
• Modulus and Amplitude of complex numbers, illustrations, geometrical and polar representation of complex numbers in the argand plane, argand diagram.

De Moivre’s Theorem

• De moivre’s theorem, integral and rational indices
• nth roots of unity, geometrical interpretations

Quadratic Expressions

• Quadratic expressions, equations in one variable
• A sign of quadratic expressions, change in signs, maximum and minimum values, quadratic in-equations.

Theory Of Equations

Permutations And Combinations

The fundamental principle of counting – linear and circular permutations, permutations of ‘n’ dissimilar things taken ‘r’ at a time, permutations when repetitions allowed, circular permutations, permutations with constraint repetitions, combinations-definitions and certain theorems.

Probability

Random experiments and events, axiomatic approach and addition theorem of probability, independent and dependent events, conditional probability multiplication theorem, bayee’s theorem, random variables and probability distributions, random variables, theoretical discrete distributions

Binomial Theorem

Binomial theorem for the positive integral index, binomial theorem for rational index (without proof), approximations using binomial theorem.

Partial Fractions

Partial fractions of f(x) / g(x) when g(x) contains non -repeated linear factors, partial fractions of f(x)/g(x) when g(x) contains repeated and/or non-repeated linear factors, partial fractions of f(x)/g(x) when g(x) contains irreducible factors.

Measures Of Dispersion

Mean deviation, variance and standard deviation of ungrouped/grouped data, coefficient of variation, analysis of frequency distributions with equal means but different variances.

Chapters

Topics

Circle

• Circle in standard form
• Centre and radius of a circle
• Length of a tangent,
• Conditions for a line to be tangent,
• Chord joining two points on a circle
• Equation of the tangent at a point on the circle

System Of Circles

The angle between two intersecting circles, the radical axis of two circles, properties of common chord and common tangent of two circles, radical centre, the intersection of a line and a circle.

Hyperbola

Equation of hyperbola in standard form, parametric equations, equations of tangent and normal at a point on the hyperbola, conditions for a straight line to be a tangent, asymptotes.

Integration

Integration as the inverse process of differentiation, standard forms, properties of integrals, method of substitution, integration of algebraic expressions, exponential, logarithmic, trigonometric and inverse trigonometric functions, integration by parts, integration by partial fractions method, reduction formulae.

Definite Integrals

Definite integral as the limit of a sum, interpretation of definite integral as an area, fundamental theorem of integral calculus, reduction formulae, application of the definite integral to areas.

Differential Equations

Formation of a differential equation, degree and order of an ordinary differential equation, solving differential equations by various methods.

Parabola

Conic sections, parabola, equation of the parabola in standard form, different forms of parabola, parametric equations, equations of tangent and normal at a point on the parabola ( cartesian and parametric), conditions for a straight line to be a tangent.

Ellipse

Equation of ellipse in standard form, parametric equations, equation of tangent and normal at a point on the ellipse (cartesian and parametric), condition for a straight line to be a tangent.

Chapters

Topics

Waves

• Displacement relation in a progressive wave
• The speed of a travelling wave
• The principle of superposition of waves
• Reflection of waves, Beats, Doppler effect
• Transverse and longitudinal waves

Ray Optics and Optical Instruments

• Reflection of Light by Spherical Mirrors
• Refraction
• Refraction at Spherical Surfaces and Lenses
• Refraction through a Prism
• Dispersion by a Prism
• Optical Instruments

Wave Optics

Huygens Principle, Refraction and reflection of plane waves using Huygens Principle, Coherent and Incoherent Addition of Waves, Interference of Light Waves and Young’s Experiment, Diffraction, Polarization.

Electric Charges and Fields

Electric Charges, Conductors and Insulators, Charging by Induction, Basic Properties of Electric Charge, Coulomb’s Law, Forces between Multiple Charges, Electric Field, Electric Field Lines, Electric Flux, Electric Dipole, Dipole in a Uniform External Field, Continuous Charge Distribution, Gauss’s Law, Application of Gauss’s Law.

Electrostatic Potential and Capacitance

• Electrostatic Potential
• Equipotential Surfaces
• Potential Energy of a System of Charges
• Potential Energy in an External Field, Electrostatics of Conductors, Dielectrics and Polarization
• Capacitors and Capacitance, The Parallel Plate Capacitor, Effect of Dielectric on Capacitance, Combination of Capacitors, Energy Stored in a Capacitor, Van de Graaff Generator.

Current Electricity

Electric Current, Electric Currents in Conductors, Ohm’s law, Drift of Electrons and the Origin of Resistivity, Limitations of Ohm’s Law, Resistivity of various Materials, Temperature Dependence of Resistivity, Electrical Energy, Power, Combination of Resistors, Cells, emf, Internal Resistance, Cells in Series and in Parallel, Kirchhoff’s Laws, Wheatstone Bridge, Meter Bridge.

Moving Charges and Magnetism

• Magnetic Force
• Magnetic Field on the Axis of a Circular Current Loop
• Ampere’s Circuital Law
• The Solenoid and the Toroid

Magnetism and Matter

The Bar Magnet, Magnetism and Gauss’s Law, The Earth’s Magnetism, Magnetization and Magnetic Intensity, Magnetic Properties of Materials, Permanent Magnets and Electromagnets.

Electromagnetic Wave

Displacement Current, Electromagnetic Waves, Electromagnetic Spectrum.

Dual Nature of Radiation and Matter

Electron Emission, Photoelectric Effect, Experimental Study of Photoelectric Effect, Photoelectric Effect and Wave Theory of Light, Einstein’s Photoelectric Equation: Energy Quantum of Radiation, Particle Nature of Light: The Photon, Wave Nature of Matter.

Atoms

Alpha-particle Scattering, Rutherford’s Nuclear Model of Atom, Atomic Spectra and Bohr Model of the Hydrogen Atom, The Line Spectra of the Hydrogen Atom.

Nuclei

Atomic Masses and Composition of Nucleus, Size of the Nucleus, Mass-Energy and Nuclear Binding Energy, Nuclear Force, Radioactivity, Nuclear Energy.

Semiconductor Electronics: Materials, Devices And Simple Circuit

Classification of Metals, Conductors and Semiconductors, Intrinsic Semiconductor, Extrinsic Semiconductor, p-n Junction, Semiconductor diode, Application of Junction Diode as a Rectifier.

Communication System

The bandwidth of Transmission Medium, Propagation of Electromagnetic Waves, Modulation and its Necessity, Amplitude Modulation, Production of Amplitude Modulated Wave, Detection of Amplitude Modulated Waves.

Electromagnetic Induction

The Experiments of Faraday and Henry, Magnetic Flux, Faraday’s Law of Induction, Lenz’s Law and Conservation of Energy, Motional Electromotive Force,

Alternating Current

• AC Voltage Applied to a Resistor
• Representation of AC Current & Voltage by Rotating Vectors
• AC Voltage Applied to an Inductor
• AC Voltage Applied to a Capacitor
• AC Voltage Applied to a Series LCR Circuit
• Power in AC Circuit: The Power Factor, LC Oscillations