{"id":60187,"date":"2022-01-29T17:13:27","date_gmt":"2022-01-29T11:43:27","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60187"},"modified":"2025-02-28T15:57:35","modified_gmt":"2025-02-28T10:27:35","slug":"ncert-exemplar-solutions-for-class-11-maths-chapter-2-relations-and-functions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/","title":{"rendered":"NCERT Exemplar Solutions for Class 11 Maths Chapter 2 &#8211; Relations and Functions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_2_-_Relations_and_Functions\" title=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 2 &#8211; Relations and Functions\">NCERT Exemplar Solutions for Class 11 Maths Chapter 2 &#8211; Relations and Functions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#21_Introduction\" title=\"2.1 Introduction\">2.1 Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#22_Cartesian_Product_of_Sets\" title=\"2.2 Cartesian Product of Sets\">2.2 Cartesian Product of Sets<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#23_Relations\" title=\"2.3 Relations\">2.3 Relations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#24_Functions\" title=\"2.4 Functions\">2.4 Functions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#241_Some_functions_and_their_graphs\" title=\"2.4.1 Some functions and their graphs\">2.4.1 Some functions and their graphs<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#242_Algebra_of_real_functions\" title=\"2.4.2 Algebra of real functions\">2.4.2 Algebra of real functions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#Key_Features_of_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_2-_Relations_and_Functions\" title=\"Key Features of NCERT Exemplar Solutions for Class 11 Maths Chapter 2- Relations and Functions\">Key Features of NCERT Exemplar Solutions for Class 11 Maths Chapter 2- Relations and Functions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions \">Frequently Asked Questions <\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#How_to_find_which_relation_is_a_function_in_Chapter_2_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\" title=\"How to find which relation is a function in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?\">How to find which relation is a function in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#Explain_the_basic_steps_for_the_Cartesian_product_of_sets_in_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_2_Relations_and_Functions\" title=\"Explain the basic steps for the Cartesian product of sets in NCERT Exemplar Solutions for Class 11 Maths Chapter 2 Relations and Functions.\">Explain the basic steps for the Cartesian product of sets in NCERT Exemplar Solutions for Class 11 Maths Chapter 2 Relations and Functions.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#What_is_the_meaning_of_relations_in_Chapter_2_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\" title=\"What is the meaning of relations in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?\">What is the meaning of relations in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_2_-_Relations_and_Functions\"><\/span><span style=\"font-size: 18pt;\">NCERT Exemplar Solutions for Class 11 Maths Chapter 2 &#8211; Relations and Functions<\/span><img loading=\"lazy\" class=\"aligncenter wp-image-174022 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-7-math-ncert-solutions-300x200.webp\" alt=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 2\" width=\"300\" height=\"200\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-7-math-ncert-solutions-300x200.webp 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-7-math-ncert-solutions.webp 626w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 2, which includes thorough solutions for reference. All of the questions from the textbook\u2019s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and preparing for exams like <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\"><strong>JEE<\/strong><\/a><\/span>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"21_Introduction\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>2.1 Introduction<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The concept discussed in the chapter Relations and Functions is explained in this section.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The relation between the total number of students and their respective heights is shown in terms of the set of ordered-pair numbers. In general ordered-pair numbers are written like (x, y). Such that x is the domain of the relation, which contains the set of all elements of x and y is the range of the relation which contains the set of all elements of y.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"22_Cartesian_Product_of_Sets\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>2.2 Cartesian Product of Sets<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">In this section, students learn about the product of the cartesian coordinate system and also about the ordered pairs with the help of a real-life model, its representation and some worked examples.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let us suppose chocolates have four shapes, two flavors, and five colors.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S :={circle, triangle, trapezoidal, oval}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">F :={orange, vanilla}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C :={red, blue, pink, white, purple}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S:={circle, triangle,trapezoidal, oval}, F:={orange, vanilla},C:={red, blue, pink, white, purple}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">be the four shapes, two flavours, and five colours respectively. Therefore, the set of manufactured chocolates is the triple cartesian product S\u00d7F\u00d7C and consists of 4\u22c52\u22c55=40 elements. Hence, if the manager has to sell the given set of chocolates then they have to prepare the room for 40 heaps.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"23_Relations\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>2.3 Relations<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">In this section, the definitions of domain and co-domain are given, and also the mapping of set A to set B is explained with the help of solved problems. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">The concept of mapping a particular phone number to the respective person to whom the phone number belongs is a relation. Here the relation is \u2014 phone number to person.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"24_Functions\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>2.4 Functions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">In this section, image and preimage are explained, and also functions, and visualization of functions, when the relation is known as function are explained with the help of examples. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Since the height of any person, is determined by the femur bone length. Therefore, it is an example of the function.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"241_Some_functions_and_their_graphs\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>2.4.1 Some functions and their graphs<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">In this section, the types of functions and their graphical representations are shown. The types of functions are as follows.<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Identity function<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Constant function<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Polynomial function<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Rational functions<\/span><\/li>\n<li><span style=\"font-weight: 400;\">The Modulus function<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Signum function<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Greatest integer function<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"242_Algebra_of_real_functions\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>2.4.2 Algebra of real functions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">In this section, the algebraic operations on functions are explained.<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Addition of two real functions<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Subtraction of a real function from another<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Multiplication by a scalar<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Multiplication of two real functions<\/span><\/li>\n<li><span style=\"font-weight: 400;\">The quotient of two real functions<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">The number of questions available in the exercises of Chapter 2 is listed below:<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Exercise 2.1 Solutions 10 Questions<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Exercise 2.2 Solutions 9 Questions<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Exercise 2.3 Solutions 5 Questions<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Miscellaneous Exercise On Chapter 2 Solutions 12 Questions<\/span><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Key_Features_of_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_2-_Relations_and_Functions\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>Key Features of NCERT Exemplar Solutions for Class 11 Maths Chapter 2- Relations and Functions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">When the two elements are grouped in a particular order then it is known as an ordered pair.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The cartesian product of the two sets A and B is A \u00d7 B, such that A \u00d7 B = {(a, b): a \u2208 A, b \u2208 B}.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The relation R from a set A to a set B is always a subset of its cartesian product A \u00d7 B. It explains the relation between the first element and second element, x, and y of the ordered pairs in the cartesian product A \u00d7 B.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">In a relation R, the image of an element x is given by an element y, such that (x, y) \u2208 R.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The set of all the first elements in the ordered pairs in a relation R is the domain of R.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The set of all the second elements in the ordered pairs in a relation R is the range of R.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The function A from set A to set B is a special kind of relation R, for which every x element of set A has one and only one image y in set B. It is written as f: A\u2192B, such that f(x) = y.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">In a function, the range is the set of images.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A real function is always the set of real numbers or one of its subsets can be both its domain and its range.<\/span><\/li>\n<\/ul>\n<h3><b>Frequently Asked Questions <\/b><\/h3>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"How_to_find_which_relation_is_a_function_in_Chapter_2_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\"><\/span>How to find which relation is a function in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tFrom the definition, a function relates an element from a domain to only one element of the range. With the help of a graph, any function is said to be a relation when any vertical line drawn on a graph cuts the x-axis only once. The method of finding whether a relation is a function or not? By the graph is known as the vertical line test. It can also be found with the help of different formulas.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Explain_the_basic_steps_for_the_Cartesian_product_of_sets_in_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_2_Relations_and_Functions\"><\/span>Explain the basic steps for the Cartesian product of sets in NCERT Exemplar Solutions for Class 11 Maths Chapter 2 Relations and Functions.<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo understand the basic concepts for solving a question based on the Cartesian product of sets, students should go through the first exercise of this chapter. To solve the problem quickly, solve examples before each exercise are given to the students. When the students solve the problems from the NCERT textbook then their conceptual understanding will enhance, with the help of which they will perform better in their first term examination.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_the_meaning_of_relations_in_Chapter_2_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\"><\/span>What is the meaning of relations in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tRelations R is the collection of ordered pairs which has one element from each set. Sometimes a function is considered as a relation but the conceptual idea of both are different. From the NCERT Exemplar Solutions of Class 11 Maths Chapter 2 the students learn and analyze the proper definition of the relations as per the syllabus of the term \u2013 I CBSE for the session 2021-22. Also, the examples given in the solutions will help students in solving the problems based on relations. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Why_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to find which relation is a function in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"From the definition, a function relates an element from a domain to only one element of the range. With the help of a graph, any function is said to be a relation when any vertical line drawn on a graph cuts the x-axis only once. The method of finding whether a relation is a function or not? By the graph is known as the vertical line test. It can also be found with the help of different formulas.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Explain the basic steps for the Cartesian product of sets in NCERT Exemplar Solutions for Class 11 Maths Chapter 2 Relations and Functions.\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To understand the basic concepts for solving a question based on the Cartesian product of sets, students should go through the first exercise of this chapter. To solve the problem quickly, solve examples before each exercise are given to the students. When the students solve the problems from the NCERT textbook then their conceptual understanding will enhance, with the help of which they will perform better in their first term examination.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the meaning of relations in Chapter 2 of NCERT Exemplar Solutions for Class 11 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Relations R is the collection of ordered pairs which has one element from each set. Sometimes a function is considered as a relation but the conceptual idea of both are different. From the NCERT Exemplar Solutions of Class 11 Maths Chapter 2 the students learn and analyze the proper definition of the relations as per the syllabus of the term \u2013 I CBSE for the session 2021-22. Also, the examples given in the solutions will help students in solving the problems based on relations.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App<\/a><\/span> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Exemplar Solutions for Class 11 Maths Chapter 2 &#8211; Relations and Functions Subject specialists have created NCERT Exemplar Solutions [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Exemplar Solutions for Class 11 Maths Chapter 2","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 2 - Relation and Function, which includes thorough solutions for reference.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/"},"categories":[107,113,105],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Exemplar Solutions for Class 11 Maths Chapter 2 - Relations and Functions - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 2 - Relation and Function, which includes thorough solutions for reference.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-2\/relations-and-functions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 2 - 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