Class 12 Maths

Telangana Class 12 Maths IIA Syllabus

Unit – 1 Complex Numbers
Unit – 2 De Moivre’s Theorem
Unit – 3 Quadratic Expressions
Unit – 4 Theory of Equations
Unit – 5 Permutations and Combinations
Unit – 6 Binomial Theorem
Unit – 7 Partial Fractions
Unit – 8 Measures of Dispersion
Unit – 9 Probability

Telangana Class 12 Maths IIB Syllabus

Unit – 1 Circle
Unit – 2 System of Circles
Unit – 3 Parabola
Unit – 4 Ellipse
Unit – 5 Hyperbola
Unit – 6 Integration
Unit – 7 Definite Integrals
Unit – 8 Differential Equations
Unit – 10 Random Variables & Probability Distributions

Maharashtra State Board 12th Mathematics and Statistics Part I Book PDF 

• Chapter 1: Mathematical Logic
• Chapter 2: Matrics
• Chapter 3: Trigonometric Functions
• Chapter 4: Pair of Straight Lines
• Chapter 5: Vectors
• Chapter 6: Line and Plane
• Chapter 7:Linear Programming

Maharashtra State Board 12th Mathematics and Statistics Part 2 Book PDF 

• Chapter 1: Differentiation
• Chapter 2: Applications of Derivatives
• Chapter 3: Indefinite Integration
• Chapter 4: Definite Integration
• Chapter 5: Application of Definite Integration
• Chapter 6: Differential Equations
• Chapter 7:Probability Distributions
• Chapter 8: Binomial Distribution

Std. XII - PART – 2 1. Continuity Continuity of a function at a point : left hand limit, right hand limit, definition of continuity of a function at a point, discontinuity of a function, types of discontinuity, algebra of continuous functions, continuity in interval-definition, continuity of some standard functionspolynomial, rational, trigonometric, exponential and logarithmic function. 2. Differentiation Revision- revision of derivative, relationship between continuity and differentiability-left hand derivative and right hand derivative (need and concept), every differentiable function is continuous but converse is not true, Derivative of 86 composite function-chain rule, derivative of inverse function, derivative of inverse trigonometric function : Derivative of implicit function definition and examples, derivative of parametric function – definition of parametric function , exponential and logarithmic functionderivative of functions which are expressed in one of the following form a) product of functions, b) quotient of functions, c) higher order derivative, second order derivative d) [f(x) ] [g(x)] 3. Applications of derivative Geometrical application-tangent and normal at a point, Rolle's theorem, and Mean value theorem and their geometrical interpretation (without proof), derivative as a rate measure-introduction, increasing and decreasing function, approximation (without proof), Maxima and minimaintroduction of extrema and extreme values, maxima and minima in a closed interval, first derivative test, second derivative test. 4. Integration Indefinite integrals-methods of integration, substitution method, integrals of the various types, integration by parts (reduction formulae are not expected), integration by partial fraction-factors involving repeated and non-repeated linear factors, non-repeated quadratic factors, definite integral-definite integral as a limit of sum, fundamental theorem of integral calculus (without proof), evaluation of definite integral 1) by substitution, 2) integration by parts, properties of definite integrals. 5. Applications of definite integral Area under the curve : area bounded by curve and axis (simple problems), area bounded by two curves, volume of solid of revolution-volume of solid obtained by revolving the area under the curve about the axis (simple problems). 6. Differential equation Definition-differential equation, order, degree, general solution, particular solution of differential equation, formation of differential equation-formation of differential equation by eliminating arbitary constants (at most two constants), solution of first order and first degree differential equation-variable separable method, homogeneous differential equation (equation reducible to homogeneous form are not expected), Linear differential equation, applications : population growth, bacterial colony growth, surface area, Newton’s laws of cooling, radioactive decay. 7. Statistics Bivariate frequency distribution - bivariate data, tabulation of bivariate data, scatter diagram, covariance of ungrouped data, covariance for bivariate frequency distribution, Karl Pearson’s coefficient of correlation. 8. Probability distribution Probability distribution of a random variable-definition of a random variable, discrete and continuous random variable, probability mass function (p.m.f.), probability distribution of a discrete random variable, cumulative probability distribution of a discrete random variable, 87 expected value, variance and standard deviation of a discrete random variable, probability density function (p.d.f.), distribution function of a continuous random variable. 9. Bernoulli trials and Binomial distribution Definition of Bernoulli trial, conditions for Binomial distribution, binomial distribution (p.m.f.), mean, variance and standard deviation, calculation of probabilities (without proof), Normal distribution : p.d.f., mean, variance and standard deviation, standard normal variable, simple problems (without proof). List of Practicals : XII 1. Applications of logic. 2. Inverse of a matrix by adjoint method and hence solution of system of linear equations. 3. Inverse of a matrix by elementary transformation and hence solution of system of linear equations. 4. Solutions of a triangle. 5. Tracing of tangents and normals for circle and parabola. 6. Tracing of tangents and normals for ellipse and hyperbola. 7. Applications of scalar triple product of vectors. 8. Three dimensional geometry - line. 9. Three dimensional geometry - plane. 10. Formations and solutions of LPP. 11. Applications of derivatives (Geometric applications). 12. Applications of derivatives – Rate measure. 13. Applications of derivatives - Maxima and minima 14. Applications of definite integrals - Limit of a sum. 15. Applications of definite integrals - Area. 16. Applications of definite integrals - volume. 17. Applications of differential equations. 18. Bivariate frequency distribution. 19. Expected value, variance and S.D of a random variable. 20. Binomial distribution