Question 9.Let R be the relation on Z defined by R = {(a,b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R. EXERCISE 2.3 Qusetion 1. Which of the following relations are functions? Give reason
11. Let $f$ be the subset of $Z\times Z$ defined by $f=\left\{ \left( ab,a+b \right):a,b\in Z \right\}$ . If $f$ a function from $Z$ to $Z$. Justify your answer. Ans:Our given relation $f$ is defined as $f=\left\{ \left( ab,a+b \right):a,b\in Z \rig...
Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, ...
View Solution State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be transitive. View Solution Let N be the set of natural numbers and f : N->N be a function given by f(x)=x+1 for x in N.Which one of the following is co...
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible ...
CBSE Class 11 Economics Notes CBSE Class 11 Accountancy Notes CBSE Class 11 Mathematics Notes and Syllabus Sets, Relation and Function, Trigonometric Functions, Mathematical Induction, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutation and Combination, Binomial Theorem, Sequence and ...
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Exercises Under NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations The chapter is divided into five exercises and one miscellaneous exercise. Here is a brief summary of each exercise: Exercise 9.1:This exercise asks students to verify whether a given function is a solution of a ...
Let A be the set of all 50 students of Class X in a school Letf:A→Nbe function defined byf(x)=roll number of the student x. Show that f in one-one but not onto. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7...