TN 12th Maths [12வது கணிதம்] - Guide and Book Back Solution

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12th Maths / 12

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• 12 : 7.1 :
• 12 : 7.2 :

• 12 : 7.3 :

• 12 : 7.4 : (Series Expansions) : • 12 : 7.5 :

• 12 : 7.6 :

• 12 : 7.7 :

• 12 : 7.8 :

• 12 : 7.9 : (Symmetry and Asymptotes), (Sketching of Curves)

• 12 : 7.10 :

• 12 : 8.1 :

• 12 : 8.2 :

• 12 : 8.3 :

• 12 : 8.4 :

• 12 : 8.5 :

(Linear Approximation and Differential of a function of several variables)

• 12 : 8.6 : (Function of Function Rule)

• 12 : 8.8 :

• 12 : 9.1 : (Definite Integral as the Limit of a Sum)

• 12 : 9.2 :

• 12 : 9.3 : (Fundamental Theorems of Integral Calculus and their Applications)

• 12 : 9.5 : (Improper Integrals)

• 12 : 9.6 : (Reduction Formulae)

• 12 : 9.7 : (Gamma Integral)

• 12 : 9.8 : (Evaluation of a Bounded Plane Area by Integration)

• 12 : 9.9 :

(Volume of a solid obtained by revolving area about an axis)

• 12 : 9.10 :

• 12 : 10.1 : ,

(Differential Equation, Order, and Degree)

• 12 : 10.2 :

(Formation of Differential equations from Physical Situations)

• 12 : 10.3 :

(Formation of Differential Equations from Geometrical Problems)

• 12 : 10.4 :

(Solution of Ordinary Differential Equations)

• 12 : 10.5 :

(Variables Separable Method), (Substitution Method)

• 12 : 10.6 :

(Homogeneous Form or Homogeneous Differential Equation)

• 12 : 10.7 :

(First Order Linear Differential Equations)

• 12 : 10.8 : (Applications of First Order Ordinary Differential Equations)

• 12 : 10.9 :

• 12 : 11.1 : (Random Variable)

• 12 : 11.2 : (Types of Random Variable)

• 12 : 11.3 : (Continuous Distributions)

• 12 : 11.4 : (Mathematical Expectation)

• 12 : 11.5 : : (Theoretical Distributions: Some Special Discrete Distributions)

• 12 : 11.6 :

• 12 : 12.1 :

• 12 : 12.2 : (Mathematical

• 12 : 12.3 :

12th Maths : Exercise 1.1: Inverse of a Non-Singular Square Matrix

• 12th Maths : Exercise 1.2: Elementary Transformations of a Matrix

• 12th Maths : Exercise 1.3: Matrices linear equations by matrix inversion method

• 12th Maths : Exercise 1.4: Matrices: Cramer’s Rule

12th Maths : Exercise 1.5: Matrix: Gaussian Elimination Method

• 12th Maths : Exercise 1.6: Matrix: Non-homogeneous Linear Equations

• 12th Maths : Exercise 1.7: Matrix: Homogeneous system of linear equations

• 12th Maths : Choose the Correct Answers

• 12th Maths : Exercise 2.1: Introduction to Complex Numbers

• 12th Maths : Exercise 2.2: Complex Numbers

• 12th Maths : Exercise 2.3: Properties of Complex Numbers

• 12th Maths : Exercise 2.4: Conjugate of a Complex Number

• 12th Maths : Modulus of a Complex Number: Solved Example Problems

• 12th Maths : Exercise 2.5: Modulus of a Complex Number

• 12th Maths : Exercise 2.6: Geometry and Locus of Complex Numbers

• 12th Maths : Exercise 2.7: Polar and Euler form of a Complex Number

• 12th Maths : Exercise 2.8: de Moivre’s Theorem and its Applications

12th Maths : Solved Example Problems on de Moivre’s Theorem

• 12th Maths : Choose the correct Answers

12th Maths : Exercise 3.1: Vieta’s Formulae and Formation of Polynomial Equations

12th Maths : Exercise 3.2: Polynomial Equation in Geometry

12th Maths : Exercise 3.3: Polynomials with Additional Information

• 12th Maths : Exercise 3.4: Partly Factored Polynomial

• 12th Maths : Exercise 3.5: Polynomial Equations with no Additional Information

Logic)

12th Maths : Exercise 3.6: Descartes Rule

12th Maths : Choose the correct Answers

• 12th Maths : Exercise 4.1: Sine Function and Inverse Sine Function

• 12th Maths : Exercise 4.2: Cosine Function and Inverse Cosine Function

• 12th Maths : Exercise 4.3: Tangent Function and the Inverse Tangent Function

12th Maths : Exercise 4.4: Principal Value of Inverse Trigonometric Functions

12th Maths : Solved Example Problems on Inverse Trigonometric Functions

12th Maths : Exercise 4.5: Inverse Trigonometric Functions

• 12th Maths : Choose the correct answers

• 12th Maths : Exercise 5.1: Circle

• 12th Maths : Exercise 5.2: Conics

• 12th Maths : Exercise 5.3: Conic Sections

• 12th Maths : Exercise 5.4: Tangents and Normals to Conics

• 12th Maths : Exercise 5.5: Real life Applications of Conics

• 12th Maths : Choose the correct Answer

• 12th Maths : Exercise 6.1: Scalar Product and Vector Product

12th Maths : Exercise 6.2: Scalar triple product

• 12th Maths : Exercise 6.3: Vector triple product, Jacobi’s Identity and Lagrange’s

Identity

12th Maths : Exercise 6.4: Application of Vectors to 3-Dimensional Geometry

• 12th Maths : Exercise 6.5: Point of intersection of two straight lines

12th Maths : Exercise 6.6: Equation of a plane

12th Maths : Exercise 6.7: Equation of a plane

12th Maths : Exercise 6.8: Equation of a plane

12th Maths : Exercise 6.9: Equation of intersection of the planes

• 12th Maths : Choose the correct answer

• 12th Maths : Exercise 7.1 : Meaning of Derivatives

• 12th Maths : Exercise 7.2 : Equations of Tangent and Normal, Angle between two

curves

12th Maths : Exercise 7.3: Mean Value Theorem

• 12th Maths : Exercise 7.4 : Series Expansions: Maclaurin’s and Taylor’s Series

• 12th Maths : Exercise 7.5 : Indeterminate Forms

12th Maths : Exercise 7.6 : Applications of First Derivative

• 12th Maths : Exercise 7.7: Applications of Second Derivative

12th Maths : Exercise 7.8: Applications in Optimization

12th Maths : Exercise 7.9: Symmetry and Asymptotes, Sketching of Curves

12th Maths : Exercise 7.10: Choose the correct or the most suitable answer

• 12th Maths : Exercise 8.1: Linear Approximation

• 12th Maths : Exercise 8.2: Differentials

• 12th Maths : Exercise 8.3: Functions of Several Variables

• 12th Maths : Exercise 8.4: Partial Derivatives

• 12th Maths : Exercise 8.5: Linear Approximation and Differential of a function of several variables

• 12th Maths : Exercise 8.6: Function of Function Rule

• 12th Maths : Exercise 8.7: Homogeneous Functions and Euler’s Theorem

• 12th Maths : Exercise 8.8: Choose the correct answer

12th Maths : Exercise 9.1: Definite Integral as the Limit of a Sum

12th Maths : Exercise 9.2: Limit Formula to Evaluate Definite Integral as the Limit of a Sum

12th Maths : Exercise 9.3: Fundamental Theorems of Integral Calculus and their Applications

12th Maths : Exercise 9.4: Bernoulli’s Formula

12th Maths : Exercise 9.5: Improper Integrals

• 12th Maths : Exercise 9.6: Reduction Formulae

• 12th Maths : Exercise 9.7: Gamma Integral

• 12th Maths : Exercise 9.8: Evaluation of a Bounded Plane Area by Integration

12th Maths : Exercise 9.9: Volume of a solid obtained by revolving area about an axis

• 12th Maths : Exercise 9.10: Choose the correct answer

• 12th Maths : Exercise 10.1: Differential Equation, Order, and Degree

• 12th Maths : Exercise 10.2: Formation of Differential equations from Physical Situations

• 12th Maths : Exercise 10.3: Formation of Differential Equations from Geometrical Problems

12th Maths : Exercise 10.4: Solution of Ordinary Differential Equations

• 12th Maths : Exercise 10.5: Variables Separable Method, Substitution Method

• 12th Maths : Exercise 10.6: Homogeneous Form or Homogeneous Differential Equation

• 12th Maths : Exercise 10.7: First Order Linear Differential Equations

• 12th Maths : Exercise 10.8: Applications of First Order Ordinary Differential Equations

• 12th Maths : Exercise 10.9: Choose the correct answer

• 12th Maths : Exercise 11.1: Random Variable

• 12th Maths : Exercise 11.2: Types of Random Variable

• 12th Maths : Exercise 11.3: Continuous Distributions

• 12th Maths : Exercise 11.4: Mathematical Expectation

• 12th Maths : Exercise 11.5: Theoretical Distributions: Some Special Discrete Distributions

• 12th Maths : Exercise 11.6: Choose the Correct answer

• 12th Maths : Exercise 12.1: Binary operations

• 12th Maths : Exercise 12.2: Mathematical Logic

• 12th Maths : Exercise 12.3: Choose the correct answer

Online 1 mark test [Chapter, Subject wise - Practice Test]

• 12th Maths : Full Portion - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 1: Applications of Matrices and Determinants - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 2: Complex Numbers - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 3: Theory of Equations - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 4: Inverse Trigonometric Functions - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 5: Two Dimensional Analytical Geometry II - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 6: Applications of Vector Algebra - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 7: Applications of Differential Calculus - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 8: Differentials and Partial Derivatives - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 9: Applications of Integration - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

• 12th Maths: Chapter 10: Ordinary Differential Equations - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

12th Maths: Chapter 11: Probability Distributions - Online 1 mark test [Chapter, Subject wise - Practice Test] [Click Here]

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