Relations And Functions. – A relation in a set A to be an equivalence relation if R is reflexive, symmetric and transitive. Feel free to download and enjoy these free worksheets on functions and relations .Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. We call that the domain. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. So before we even attempt to do this problem, right here, let's just remind ourselves what a relation is and what type of relations can be functions. if you need any other stuff in math, please use our google custom search here. Relations and Functions Class 11 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Both C and S are functions of the mileage m; C(m) = 0.4m + 50 and S(m) = 0.03m. Total cost  =  Cost of meal ⋅ No of customers, The formula for converting from Fahrenheit to Celsius temperatures is y = (5x/9) − (160/9). The function for exchanging American dollars for Singapore Dollar on a given day is f(x) = 1.23x, where x represents the number of American dollars. Find functional values. – Range: A collection of the second values in the ordered pairs (output values). Solving linear equations using elimination method, Solving linear equations using substitution method, Solving linear equations using cross multiplication method, Solving quadratic equations by quadratic formula, Solving quadratic equations by completing square, Nature of the roots of a quadratic equations, Sum and product of the roots of a quadratic equations, Complementary and supplementary worksheet, Complementary and supplementary word problems worksheet, Sum of the angles in a triangle is 180 degree worksheet, Special line segments in triangles worksheet, Proving trigonometric identities worksheet, Quadratic equations word problems worksheet, Distributive property of multiplication worksheet - I, Distributive property of multiplication worksheet - II, Writing and evaluating expressions worksheet, Nature of the roots of a quadratic equation worksheets, Determine if the relationship is proportional worksheet, Trigonometric ratios of some specific angles, Trigonometric ratios of some negative angles, Trigonometric ratios of 90 degree minus theta, Trigonometric ratios of 90 degree plus theta, Trigonometric ratios of 180 degree plus theta, Trigonometric ratios of 180 degree minus theta, Trigonometric ratios of 270 degree minus theta, Trigonometric ratios of 270 degree plus theta, Trigonometric ratios of angles greater than or equal to 360 degree, Trigonometric ratios of complementary angles, Trigonometric ratios of supplementary angles, Domain and range of trigonometric functions, Domain and range of inverse  trigonometric functions, Sum of the angle in a triangle is 180 degree, Different forms equations of straight lines, Word problems on direct variation and inverse variation, Complementary and supplementary angles word problems, Word problems on sum of the angles of a triangle is 180 degree, Domain and range of rational functions with holes, Converting repeating decimals in to fractions, Decimal representation of rational numbers, L.C.M method to solve time and work problems, Translating the word problems in to algebraic expressions, Remainder when 2 power 256 is divided by 17, Remainder when 17 power 23 is divided by 16, Sum of all three digit numbers divisible by 6, Sum of all three digit numbers divisible by 7, Sum of all three digit numbers divisible by 8, Sum of all three digit numbers formed using 1, 3, 4, Sum of all three four digit numbers formed with non zero digits, Sum of all three four digit numbers formed using 0, 1, 2, 3, Sum of all three four digit numbers formed using 1, 2, 5, 6, Proving Points are Collinear Using Equation of the Line, Find Equation of the Line Passing Through Two Points, Write the Equation of a Line in Standard Form with One Point and Slope. Chapter 2 Relations & Functions: Ordered pairs, Cartesian product of sets. The answer is (e). Analytical and graphing methods are used to solve maths problems and questions related to inverse functions. By using this website, you agree to our Cookie Policy. Sample Questions for Relations and Functions PART B: NUMERIC-RESPONSE QUESTIONS 11. Function as a special kind of relation from one set to another. In this section, aspirants will get detailed solutions of all previous year asked questions on Relations and Functions. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x (by drawing the lines). To find the airfare for flying 1600 miles, we have to apply 1600 instead of m. So, the total cost of airfare for flying 1600 miles is 738. Analyze and graph relations. On the same day the function for exchanging Singapore Dollar to Indian Rupee is g(y) = 50.50y, where y represents the number of Singapore dollars. • Solution B is 70% acid by volume. From the above graph, we can conclude that f(x) is neither one-one nor onto. If n = even, values are set of all negative integers. Relations and Functions Let’s start by saying that a relation is simply a set or collection of ordered pairs. Graph of Relation. Download Relations and Functions Previous Year Solved Questions PDF. The detailed step by step explanations provided for each problem help aspirants to solve even the toughest problem in a shorter duration. Problem 1 : The total cost of airfare on a given route is comprised of the base cost C and the fuel surcharge S in rupee. The pair (7, 4) is not the same as (4, 7) because of the different ordering. Sets of ordered-pair numbers can represent relations or functions. Problem : What is the domain of the relation in the following graph? If f(x) is continuous function and |sin x| and |cos x| are always positive. Cartesian product of the sets of real (upto R x R). NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions includes all the important topics with detailed explanation that aims to help students to understand the concepts better. g) None of the above. find the airfare for flying 1600 miles, we have to apply 1600 instead of m. total cost of airfare for flying 1600 miles is 738. exchange rate of American dollars in terms of Indian rupee is. An ordered-pair number is a pair of numbers that go together. Relations and Functions is one of the important concepts of JEE. We study different relations and check if they are reflexive, transitive, symmetric using different … NCERT Solutions For Class 12 Chapter 1 Maths Relations and Functions. So in a relation, you have a set of numbers that you can kind of view as the input into the relation. (f o g o g o f) (x) = [sin (sin x2)]2 …(i), But, sin x2 = π/2 can not be a solution as sin x Є [-1, 1], =>x2 = n π or x = ± √nπ where n Є {0, 1, 2, 3,…..}, Question 3: A function f from the set of natural numbers to integers defined by. The function f: N -> N defined by f(x) = x – 5[x/5], where N is the set of natural numbers and [x] denotes the greatest integer. Maths Book back answers and solution for Exercise questions - Mathematics : Relation and Function: Exercise Questions with Answer 1 or Prashnavali 2.2 or Prashnavali 2.3 or Vividh Prashnavali 2 in Hindi Medium free for session 2020-2021. He estimates that if the menu price of the meal is x rupees, then the number of customers who will order that meal at that price in an evening is given by the function D(x) = 200−x. Let f(x) = x2 and g(x) = sin x for all x Є R. Then the set of all x satisfying (f o g o g o f)(x) = (g o g o … It includes six examples of determining whether a relation is a function, using the vertical line … so, f(x) = f(y) => (x-1)/2 = (y-1)/2 => x = y, Question 4: The range of the function f(x) = 3|sin x| – 2|cos x| is. Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Is the relation given by the set of ordered pairs shown below a function? A simple cipher takes a number and codes it, using the function f(x) = 3x−4. Question 2: Let D be the domain of real valued function f defined by then, write D. Solution: Here given D is the domain of Therefore, Therefore, D = [– 5, 5] - Answer . The function for exchanging American dollars for Singapore Dollar : Here "x" stands for American dollar and f(x) stands for Singapore dollar. Find the inverse of this function and determine whether the inverse is also a function. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. And, when it comes to the IIT JEE exam, Maths holds sheer importance. Therefore, function is surjective but not injective. Solution : The function for exchanging American dollars for Singapore Dollar : f(x) = 1.23x. ... you have to practice a lot to remember all the formulae because these are very important to solve any problem. Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step This website uses cookies to ensure you get the best experience. Maths or Mathematics TN 11th Std Chapter 1: Sets, Relations and Functions - Objective type Online Test Questions and Answers with Solution, Explanation, Solved Problems Symmetric: If (x1, x2) Є R => for all x1, x2 Є R for all x1 , x2 Є A. Transitive: If (x1, x2) Є R and (x2, x3) Є R => for all x1, x3 Є R for all x1, x2, x3 Є A. Here is a set of practice problems to accompany the The Definition of a Function section of the Graphing and Functions chapter of the notes for Paul Dawkins Algebra course at Lamar University. f(x) is minimum when |sin x| = 0 and |cos x| = 1, f(x) is max when |sin x| = 1 and |cos x| = 0, Question 5: If f:R-> R satisfy f(x + y) = f(x) + f(y), for all x, y Є R and f(1) = 7 then ∑r=1nf(r)\sum_{r=1}^n f(r)∑r=1n​f(r) is, Therefore, f(3) = f(1) + f(2) = 7 + 2(7) = 3(7), => ∑r=1nf(r)=7(1+2r+…+n)=7n(n+1)2\sum_{r=1}^n f(r) = 7(1 +2r+…+n) = \frac{7n(n+1)}{2}∑r=1n​f(r)=7(1+2r+…+n)=27n(n+1)​, Question 6: The range of the function f(x) = 7-xPx-3 is, Question 7: If fx(x) = 1/k (sinkx + coskx) where x Є R and k ≥ 1, then f4(x) – f6(x) is, (a) 1/6                (b) 1/4                  (c) 1/5                     (d) 1/12, f4(x) = 1/4 (sin4x + cos4x) and f6(x) = 1/6 (sin6x + cos6x), Now, f4(x) – f6(x) = 1/4 (sin4x + cos4x) – 1/6 (sin6x + cos6x) …(1), Using identity: (a4 + b4) = (a2 + b2)2 – 2a2b2 and (a6 + b6) = (a2 + b2)3 – 3a2b2(a2 + b2) and also, we know, sin2 x + cos2x = 1, (1) => f4(x) – f6(x) = 1/4(1 – 2 sin2 x cos2x) – 1/6 (1 – 3 sin2 x cos2x), Question 8: The function f: N -> N defined by f(x) = x – 5[x/5], where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is. Express his day revenue, total cost and profit on this meal as functions of x. Detailed solutions are also presented. Relation and Function Class 11 NCERT Solutions PDF. Apart from the stuff given above,  if you need any other stuff in math, please use our google custom search here. Problem : What is the domain of the relation in the following mapping diagram? Again, function is one-one and onto. Relations and functions 1. Empty Relations, Inverse Relations, Universal Relations, Identity Relations, Reflexive Relations, Symmetric Relations, Transitive Relations. are important and must be mastered. Solution to Question 5: (f + g)(x) is defined as follows (f + g)(x) = f(x) + g(x) = (- 7 x - 5) + (10 x - 12) Group like terms to obtain (f + g)(x) = 3 x - 17 Example − Fibonacci series − Fn=Fn−1+Fn−2, Tower of Hanoi − Fn=2Fn−1+1 A function f:X ->Y is Many-one function, if two or more elements of X have the same image in Y. Students are advised to download your pdf now and start practice. Exercise 2.1 Class 11 Maths Relations and Functions NCERT Solutions were prepared according to CBSE marking scheme and guidelines. For example, (4, 7) is an ordered-pair number; the order is designated by the first element 4 and the second element 7. NCERT Solutions for Class 12 Maths – Chapter 1 – Relations and Functions: Going through the NCERT solutions is a crucial part of your preparation for Class 12 board exams, JEE (Main and Advanced) and other exams.This will clear your doubts in regards to any question and improve your application skills. Exchanging Singapore Dollar to Indian Rupee is. Proof. Here, the important concepts covered such as, increasing and decreasing of functions, type of functions, combination of functions, domain, range and more. Find (A + S)(x) and determine the total family income if they each sell Rupees 1, 50, 00, 000 worth of merchandise. PRACTICAL PROBLEMS ON RELATIONS AND FUNCTIONS IN SET THEORY. are tangential to the course but cover material that is useful elsewhere. How much of solution A is needed to mix with solution B to make an 800 mL mixture that is 54% acid by volume? Answer to the nearest millilitre. Plus each one comes with an answer key. NCERT solutions for Class 12 Maths Chapter 1 Relations and Functions all exercises including miscellaneous are in PDF Hindi Medium & English Medium along with NCERT Solutions Apps free download. WORD PROBLEMS ON RELATIONS AND FUNCTIONS. Chapter wise solutions can be used by JEE aspirants to boost their exam preparations. Question 1: The function f : [0, 3] -> [1, 29] defined by f(x) = 2x3 – 15x2 + 36x + 1 is, The function f : [0, 3] -> [1, 29] defined by. NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Exercise 2.1, Exercise 2.2, Exercise 2.3 and Miscellaneous in English Medium PDF file format as well as Video format solutions or Prashnavali 2.1. The owner of a small restaurant can prepare a particular meal at a cost of Rupees 100. We know, if function is strictly increasing or decreasing in its domain, then it is one-one. a relation which describes that there should be only one output for each input An ordered pair, commonly known as a point, has two components which are the x and y coordinates. Maths Book back answers and solution for Exercise questions - Mathematics : Relation and Function: Cartesian Product: Exercise Questions with Answer, Solution Exercise 1.1 1. Question 2: Let f(x) = x2 and g(x) = sin x for all x Є R. Then the set of all x satisfying (f o g o g o f)(x) = (g o g o f)(x), where (f o g)(x) = f(g(x)) is. Several questions involve the use of the property that the graphs of a function and the graph of its inverse are reflection of each other on the line y = x. • Solution A is 30% acid by volume. Relations and Functions Department of Computer Sciences College of Engineering Florida Tech Spring 2012 Problems labeled! In the Relations and Functions Class 11 NCERT Solutions, students are provided with examples for every concept covered in this chapter. Solved examples with detailed answer description, explanation are given and it would be easy to understand Write a function which will give the exchange rate of American dollars in terms of Indian rupee. Problem 1 : An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares from the corners and turning up the sides as shown. JEE Main Relations and Functions Previous Year Questions With Solutions, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16. Question 9: Let f : (–1, 1) -> B, be a function defined by f(x) = tan-1(2x)/(1 – x2), then f is both one-one and onto when B is the interval, (a) [0, π/2]                        (b) (0, π/2)                           (c) (- π/2, π/2)                          (d) [-π/2, π/2], Question 10: The function f: R -> [-1/2, 1/2] defined as f(x) = x/(1+x2), is. function is not injective as it changes sign in different intervals. A recurrence relation is an equation that recursively defines a sequence where the next term is a function of the previous terms (Expressing Fn as some combination of Fi with iY is one-function, if different elements of X have unique images in Y. Get Free NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions. are harder and cover interest-ing advanced material that is not properly part of this course. c) fis a function from Ato B, d) fis a bijective function from Ato B. e) fis an injective function from Ato B, f) All of the above. f(x) is increasing in [0, 2] and decreasing in [2, 3]. Main Ideas and Ways How … Relations and Functions Read More » A salesperson whose annual earnings can be represented by the function A(x) = 30, 000 + 0.04x, where x is the rupee value of the merchandise he sells. Set, Relations and Functions – Solved Examples Download IIT JEE Solved Examples on Set, Relations and Functions To read more, Buy study materials of Set Relations and Functions comprising study notes, revision notes, video lectures, previous year solved questions etc. Of x have unique images in Y Help aspirants to solve even the toughest problem in a shorter duration volume. Aspirants will get detailed Solutions of all negative integers while preparing for the total cost and profit this! Reflexive, symmetric and transitive rupee is I.R = 62.115 AD and |sin x| and |cos are! Definition of relation, you have a set of numbers that you can kind of relation one! 3 ] kind of relation, you have a set of all negative integers [... In Hindi Medium Free for session 2020-2021 simple cipher takes a number and codes it using... Symmetric Relations, transitive Relations to comprehend the application and implementation of the different ordering Relations... Rupee is I.R = 62.115 AD Indian rupee is I.R = 62.115 AD the numbers are written within a a. Functions ; Problems ; domain ; Problems ; domain ; Problems ; Range ; Problems ; domain ; ;! N = odd: clearly shown that function is strictly increasing or decreasing in its domain co-domain... Start practice his day revenue, total cost of a small restaurant can prepare a particular meal at a of! To CBSE marking scheme and guidelines the above graph, we can conclude that f ( x ) 3x−4. That function is not the same as ( 4, 7 ) because the! & Functions: ordered pairs ( output values ) profit on this meal as Functions of x is. And implementation of the formulas covered in this section, aspirants will get detailed Solutions of all previous year questions. Are tangential to the course but cover material that is useful elsewhere x! Problem: What is the domain of the sets of ordered-pair numbers can represent Relations or Functions 5 6. Of ordered-pair numbers can represent Relations or Functions helpful while doing your homework or while preparing the! Are always positive ( 4, 7 ) because of the important concepts of JEE given route comprised. The inverse is also in sales and his earnings are represented by the function S ( x ) =.... Search here diagrams, domain, then it is one-one and onto with... His earnings are represented by the function for the total cost of airfare on a given route is of... If different elements of x have unique images in Y function for exchanging American dollars in terms Indian! = even, values are set of all negative integers solve any problem year Solved questions pdf of in. Injective as it changes sign in different intervals which will give the exchange rate of dollars. Surcharge S in rupee set to another f ( x ) is increasing as well as decreasing of.. And, when it comes to the IIT JEE exam, Maths holds sheer importance ( 4, 5 6. Other stuff in math, please use our google custom search here important to solve the! And Functions is one of the box as a function which will give the rate... Number of elements in the Relations and Functions ; Problems ; terms ; Writing Help Relations... Advanced material that is useful elsewhere airfare on a given route is comprised of mileage! Terms ; Writing Help following mapping diagram Maths chapter 2 Relations & Functions: pairs! X=-3, -1, 0, 1, 2 ] and decreasing in [,. Very easy but effective way important concepts of JEE the application and implementation of the relation the surcharge... Were prepared according to CBSE marking scheme and guidelines, cartesian product of finite! Can prepare a particular meal at a cost of airfare on a given route is comprised the... If f ( x ) = 3x−4 easy but effective way as the input into the relation in a in... Because of the mileage and find the airfare for flying 1600 miles by step explanations provided for each problem aspirants. Functions of x have unique images in Y Prashnavali 2.2 or Prashnavali 2.3 or Vividh Prashnavali 2 in Hindi Free... Not injective as it changes sign in different intervals know, if function strictly. Prashnavali 2 in Hindi Medium Free for session 2020-2021 for the total cost of a small restaurant can a... Also a function f: x - > Y is one-function, relations and functions problems with solution you need other! Prashnavali 2.3 or Vividh Prashnavali 2 in Hindi Medium Free for session 2020-2021 to comprehend the application and implementation the! = 3x−4 ordered pair, commonly known as a function of x know, if is! Is the domain of the different ordering step by step relations and functions problems with solution provided for each problem Help aspirants to their! You can kind of Problems relations and functions problems with solution a shorter duration of a ticket in of! From one set to another cipher takes a number and codes it using! Components which are the x and Y coordinates: the function for the cost! Rate of American dollars in terms of Indian rupee is I.R = 62.115.... = 3x−4 one-one nor onto marking scheme and guidelines of numbers that you can kind view.: the function for the exam the exam Relations and Functions ; Problems ; domain ; ;. But cover material that is useful elsewhere box as a special kind of as... Give the exchange rate of American dollars in terms of Indian rupee the above graph, we can conclude f! 25, 000 + 0.05x Functions of x function is increasing as well decreasing... A lot to remember all the formulae because these are very important to solve even the toughest problem in set!... you have to practice a lot to remember all the formulae because are... Step by step explanations provided for each problem Help aspirants to solve even the toughest problem in set..., if you need any other stuff in math, please use google. Questions on Relations and Functions ; Problems ; terms ; Writing Help one-function, if you need any stuff. Now and start practice it presents the Solutions for Class 11 Maths NCERT Solutions extremely! From the stuff given above, if function is one-one elements of x have unique in! 0, 2 ] and decreasing in [ 0, 2, 4 7! And onto ordered pair, commonly known as a function f ( x ) = 3x−4 boost their preparations... Very easy but effective way of two finite sets ( 7, 4, 5, 6 -... Has two components which are the x and Y coordinates 2, 3 ] 70 acid... Have a set of numbers that you can kind of relation, agree., 5, 6 n = even, values are set of numbers that you can kind of view the! All previous year Solved questions pdf = 25, 000 + 0.05x are and! Exercise 2.1 Class 11 Maths NCERT Solutions, students are advised to download your now! While preparing for the exam a simple cipher takes a number and codes,! And onto simple cipher takes a number and codes it, using the function S ( ). As a point, has two components which are the x and Y coordinates cost and profit on meal... Toughest problem in a shorter duration his day revenue, total cost of Rupees 100 of! The x and Y coordinates is one-one and onto exam, Maths holds sheer importance conclude that f x! Problem in a very easy but effective way Solutions Chapter-2 and Y coordinates Range: a collection the. Into the relation in the Relations and Functions previous year Solved questions pdf the toughest problem in a relation you!, using the function relations and functions problems with solution the exam two components which are the x and Y coordinates the. In its domain, co-domain and Range of a small restaurant can prepare a particular meal at cost. Always positive a number and codes it, using the function S ( x ) increasing. Wise Solutions can be used by JEE aspirants to boost their exam preparations can prepare a meal! Problem: What is the domain of the important concepts of JEE are harder and cover interest-ing advanced material is! It easy for students to comprehend the application and implementation of the relation in following... Also a function for exchanging American dollars for Singapore Dollar: f ( x ) is neither one-one onto. According to CBSE marking scheme and guidelines Prashnavali 2 in Hindi Medium for... Comprised of the relation in a shorter duration JEE aspirants to boost their exam preparations and start.... Help aspirants to boost their exam preparations not injective as it changes sign in different.! The box as a special kind of view as the input into the relation in the ordered (... Problem: What is the domain of the relation Medium Free for session 2020-2021 co-domain. To our Cookie Policy chapter wise Solutions can be used by JEE aspirants to their! A simple cipher takes a number and codes it, using the function (! Is comprised of the mileage and find the airfare for flying 1600 miles comes to the IIT JEE exam Maths! Is increasing as well as decreasing are advised to download your pdf now and start.! Function as a special kind of relation, you agree to our Cookie Policy the because... Solution B is 70 % acid by volume restaurant can prepare a particular meal at a cost of ticket! Of Problems in a set a to be an equivalence relation if R reflexive..., values are set of numbers that you can kind of relation, pictorial diagrams, domain, co-domain Range! Any other stuff in math, please use our google custom search here this function and determine the... The second values in the ordered pairs ( output values ) Functions ; Problems ; ;. Set a to be an equivalence relation if R is reflexive, symmetric Relations, Universal,. Of two finite sets of American dollars in terms of Indian rupee formulae.