12th maths 2 exercise 1.1 answers

Notes (Solutions) of Unit 01: Functions and Limits, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are five exercises in this chapter. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Contents & summary

You can Download Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 1 Applications of Matrices and Determinants Ex 1.1 Question 1. Find the adjoint of the following: Solution: Question 2. Find the inverse (if it exists) of the following: Solution: For a matrix A, \(\mathrm\right]\) So the sequence of decoded matrices is [8 5], [12 16]. Thus the receivers read this message as HELP. Samacheer Kalvi 12th Maths Solutions Chapter 1 Applications of Matrices and Determinants Ex 1.1 Additional Problems Question 1. Using elementary transformations find the inverse of the following matrix Solution: Question 2. Using elementary transformations find the inverse of the matrix Solution: Question 3. Using elementary transformation find the inverse of the matrix Solution: Question 4. Using elementary transformations find the inverse of the matrix Solution: Question 5. Using elementary transformation, find the inverse of the following matrix Solution: Question 6. Solution: Question 7. Solution: Question 8. Solution: Question 9. Solution: Question 10. Solution:

Get NCERT solutions for Class 12 Maths free with videos. Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand way The chapters and the topics in them are • Chapter 1 Relation and Functions – Types of Relation - Reflexive, Symmetric, Transitive & Equivalence relation, Type of functions - One-one (injective), Onto (surjective) & Bijective, Composition of functions and Inverse of a function, Binary Operation - Commutative, Associative, Identity and Inverse. • Chapter 2 Inverse Trigonometric Functions – Finding principle value, solving identities using properties • Chapter 3 Matrices – Order of matrix, Types of matrices - Column matrix, Row matrix, Square matrix, Diagnol matrix, Scalar Matrix, Identity matrix, Equal matrices, Addition, Subtraction and Multiplication of matrices, Transpose of a Matrix, Symmetric, Skew Symmetric Matrices, Finding inverse of matrix by elementary operations • Chapter 4 Determinants – Evaluating 2 x 2, 3 x 3 Determinant, Properties of Determinant, Area of triangle, Minors and Cofactors, Adjoint and inverse of matrix, Solution of system of linear equations using matrix method • Chapter 5 Continuity and Differentiability – Finding whether function is continuous, composition of continuous functions is continuous, Finding Derivative using chain rules, logarithmic and exponential differentiation, Mean value of theorem, Rolle's Theorem. • Chapter 6 Application of Derivatives – Fi...

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Transcript Ex 1.1, 1 Determine whether each of the following relations are reflexive, symmetric and transitive: (ii) Relation R in the set N of natural numbers defined as R = Check Reflexive If the relation is reflexive, then (a, a) ∈ R for every a ∈ N Since (1, 1) ∉ R ∴ R is not reflexive Check symmetric To check whether symmetric or not, If (a, b) ∈ R, then (b, a) ∈ R Here (1, 6) ∈ R , but (6, 1) ∉ R ∴ R is not symmetric Check transitive To check whether transitive or not, If (a, b) ∈ R & (b, c) ∈ R , then (a, c) ∈ R There is no pair in R such that (a, b) ∈ R and (b, c) ∈ R , then (a, c) ∉ R. ∴ R is not transitive Hence, R is neither reflexive, nor symmetric, nor transitive. Show More

1. Reflexive Relation: Relation R defined on set A is said to be reflexive if (a, a) ∈ R ∀ a∈ A. 2. Symmetric Relation: Relation R defined on set A is said to be symmetric iff (a, b) ∈ R ⇨ (b, a) ∈ R ∀ a, b, ∈ A. 3. Transitive Relation: Relation R defined on set A is said to be transitive if (a, b) ∈ R, (b, c) ∈ R ⇨(a, c) ∈ R ∀ a, b, c ∈ A. 4. Equivalence Relation: A relation defined on set A is said to be equivalence relation if it is reflexive, symmetric and transitive. In exercise 1.1 of grade 12th Maths, students will learn: • 1. Meaning of empty relation. • 2. Meaning of universal relation. • 3. Trivial Relations. • 4. When the given relation is reflexive. • 5. When the given relation is symmetric. • 6. When the given relation is transitive. • 7. Meaning of equivalence relation. Exercise 1.1 of class 12th Maths is not easy and not tough. It lies in the mid of easy and tough because some examples and questions of this exercise are easy, and some are complex. However, the difficulty level varies from child to child. So, exercise 1.1 of class 12th Maths is easy, or tough depends on children also. Some children find it difficult, some find it easy, and some find it in the middle of easy and difficult.