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  #2  
3rd December 2014, 10:06 AM
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Join Date: Apr 2013
Re: Tamil Nadu State Board Maths question paper of 12th Class

The Maths question paper of 12th class of Tamil Nadu State Board is as follows:

Tamil Nadu State Board Maths question paper of 12th Class





Tamil Nadu State Board Maths Syllabus of 12th Class

Expected Outcome
Existence of complex numbers
Complex numbers as ordered pairs of real numbers − algebra of complex numbers − conjugate of a complex number − modulus of a complex number − triangle inequality.
Polar form of a complex number − principal value of the argument − simple problems.
Statement of fundamental theorem of
algebra. Relationship between roots and coefficients.
Quadratic equations and their applications. Irrational roots, complex roots (upto 4th degree equation), reciprocal equation (upto 4th degree).
Statement of Demoivre’s theorem. Solving x 3 − 1 = 0, x 4 − 1 = 0.
Cofactor matrix, adjoint of a matrix, inverse of a matrix, uniqueness of inverse, simple problems.
Concepts − rank of a matrix. Echelon form, simple problems. Finding inverse of a matrix elementary transformations. using
Inverse method.
Examining consistency − by (i) determinant method. (ii) Rank method.
Angle between two vectors − definition of dot product − projection (geometrical meaning of dot product) properties − applications: work done by a force − to geometry − to trigonometry.
Definition − vector area (geometrical meaning) − properties of vector products. Applications: moment of a force − to geometry − to trigonometry.
Geometrical meaning − determinant form of scalar triple product. Simple properties.
Two types of representations.
Vector and Cartesian equations (two points form, one point and parallel to a vector form). Recalling direction ratios and direction cosines.
Angle between two lines. Coplanar lines (intersecting, perpendicular, parallel). Non-coplanar lines. Distance between two parallel lines − two non-coplanar lines − between a point and a line.
Vector and Cartesian form of a plane − (i) normal form, (ii) 1 point and two parallel vector (iii) 2 points and 1 parallel vector, (iv) 3 points form, (v) passing through intersection of two planes. Angle between two planes Angle between a line and a plane. Meeting point of a line and a plane Distance between
(i) a point and a plane. (ii) between two parallel planes.
Sections of a cone − definition of a conic and general equation of a conic.
General form − standard form − diameter form and parametric form. Problems connected with various forms.
Verifying the position of a given point.
Standard equation: 4 types − properties − simple problems and its applications.
Standard equation: 2 types − properties − simple problems and its applications.
Simple inequation with one and two variables − system of inequations with two variables (all graphical).
Definition of related terminology such constraints − objective function o timization. as −
different types of linear programming
(L.P.) problems − graphical method of
solution for problems in two variables −
feasible and infeasible regions − feasible
and infeasible solutions − optimal feasible
solutions (upto three non-trivial
constraints).
Statements: introduction − sentences and
statement − truth value of statements −
open sentences − compound statements − quantifier and quantified statements.
Logical connectives : conjunction − disjunction − negation − implication conditional − biconditional.
Truth tables of compound statements − examples related to real life and mathematics − statement patterns and logical equivalence − tautology − contradiction − contingency − duality − negation of compound statements.
Contra-positive − converse − inverse − algebra of statements: idempotent law − associative law − commutative law −
distributive law − identity law − complement law − involution law − DeMorgan’s laws − difference between: converse − contrapositive − contradiction − application – introduction to switching circuits (simple examples).
Binary operation as a function. Binary operation on various number systems. Properties − associative − identity − inverse and commutative.
Simple problems connected with properties.
Tangents and normals Rate measure and related rates.
Rolles theorem − Mean value theorem − their geometrical meanings. Indeterminate forms − a Limit process.
Increasing / Decreasing − First derivative test.
Concavity / convexity − second derivative test
Asymptotes. Symmetrical properties. Sketching of simple curves − rational, polynomial, trigonometrical, exponential, logarithmic curves
Applications problems) – tests. of first Extrema (optimization and second derivative
Definition and simple problems
Types of errors − finding approximate values using the concepts of differentials.
First order − second order partial derivatives.
Function of a function rule (two and three variables) (i) u = f(x, y) or f(x, y, z) x, y, z are functions of t (ii) u = f(x, y), x and y and functions of u and v.
Simple problems.
By decomposition − substitution − integration by parts − properties of definite integrals. Reduction formulae − Gamma integral − Bernoulli’s formula. Proper and improper integral − definition.
Area under the curve : Area bounded by a 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).
Ordinary / partial differential equations – definitions.
Order − degree − general solution − particular solution of differential equations.
Formation of differential equations. Formation of differential equation by eliminating arbitrary constants (at most two constants .
Solutions of first order and first degree differential equations – variable separable method, homogeneous differential equation (equation reducible to homogeneous form are not expected). Linear differential equations − applications : Population growth − bacterial colony growth − Newton’s laws of cooling − radioactive decay.
Second order linear equations with constant coefficients (particular integral connected with f(x) = e ax , sin ax, cosax).
Discrete and continuous random variables
− probability mass function − probability density function − probability distribution function − properties.
Mathematical expectation − variance standard deviation of a random variable.
Binomial − Poisson − normal
distributions.
Total Number of Periods
Allotted periods / week − 7 Approximate transaction days − 150
Approximate number of periods −
150 × 7 = 210.
more paper detail in atteched a pdf file...................
  #3  
31st July 2015, 07:00 AM
pravin sutar
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gov job

I am 12std pass in science A grup
  #4  
27th November 2019, 11:54 AM
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Re: Tamil Nadu State Board Maths question paper of 12th Class

Can you provide me the Class 12 Maths Syllabus on which the question paper is based of Tamil Nadu State Board Examination?
  #5  
27th November 2019, 11:54 AM
Super Moderator
 
Join Date: Oct 2019
Re: Tamil Nadu State Board Maths question paper of 12th Class

The Class 12 Maths Syllabus on which the question paper is based of Tamil Nadu State Board Examination is as follows:


Maths Syllabus:

Applications of Matrices and Determinants –
Adjoint, Inverse, Rank of a Matrix


Vector Algebra –
Scalar Product, Vector Product, Product of three vectors, Skew lines, Planes, Sphere,


Complex Numbers –
Conjugate, Modulus, Roots of a complex number


Analytical Geometry –
Definition of a Conic, Parabola, Ellipse, Hyperbola, Tangents and Normals, Parametric form, Asymptotes, Rectangular hyperbola


Differential Calculus – Applications I –
Derivative as a rate measure, Mean value theorem,


Differential Calculus – Applications II –
Errors and approximations, Euler’s theorem


Integral Calculus and Its Applications


Differential Equations


Discrete Mathematics –
Mathematical Logic − Logical statements, connectives, truth tables, Tautologies


Groups: Binary Operations –
Semi groups − monoids, groups


Probability Distributions –
Random Variable, Probability density function, distribution function, mathematical expectation, variance, Discrete Distributions − Binomial, Poisson, Continuous Distribution − Normal distribution


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