{"id":752289,"date":"2025-01-07T17:32:28","date_gmt":"2025-01-07T12:02:28","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=752289"},"modified":"2025-05-15T11:27:59","modified_gmt":"2025-05-15T05:57:59","slug":"class-11-maths-chapter-2-relations-and-functions-mcqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/relations-and-functions\/","title":{"rendered":"Class 11 Maths Chapter 2 Relations and Functions MCQs"},"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\/mcqs\/class-11-maths\/relations-and-functions\/#MCQ_Questions_for_Class_11_Maths_Chapter_2_Relations_and_Functions_with_answers\" title=\"MCQ Questions for Class 11 Maths: Chapter 2 Relations and Functions with answers\">MCQ Questions for Class 11 Maths: Chapter 2 Relations and Functions with answers<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/relations-and-functions\/#Class_11_Maths_Chapter_2_Relations_and_Functions_MCQs_Extra_Question\" title=\"Class 11 Maths Chapter 2 Relations and Functions MCQs Extra Question\">Class 11 Maths Chapter 2 Relations and Functions MCQs Extra Question<\/a><\/li><\/ul><\/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\/mcqs\/class-11-maths\/relations-and-functions\/#Benefits_of_Solving_Class_11_Chapter_3_Maths_MCQs\" title=\"Benefits of Solving Class 11 Chapter 3 Maths MCQs\">Benefits of Solving Class 11 Chapter 3 Maths MCQs<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/\">MCQs (Multiple-choice questions)<\/a><\/strong> for Class 11 Maths Chapter 2, &#8220;Relations and Functions,&#8221; along with their correct answers and detailed explanations. These questions follow the latest CBSE guidelines for Class 11. Solving these MCQs will help students prepare well and score higher in their exams.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"MCQ_Questions_for_Class_11_Maths_Chapter_2_Relations_and_Functions_with_answers\"><\/span>MCQ Questions for Class 11 Maths: Chapter 2 Relations and Functions with answers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>What is a relation in mathematics?\n<ul>\n<li>a) A set of numbers<\/li>\n<li>b) A set of ordered pairs<\/li>\n<li>c) A set of operations<\/li>\n<li>d) A set of equations<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) A set of ordered pairs<\/li>\n<li>What is the domain of a relation?\n<ul>\n<li>a) The set of output values<\/li>\n<li>b) The set of input values<\/li>\n<li>c) The set of ordered pairs<\/li>\n<li>d) The set of integers<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) The set of input values<\/li>\n<li>What is the range of a relation?\n<ul>\n<li>a) The set of output values<\/li>\n<li>b) The set of input values<\/li>\n<li>c) The set of ordered pairs<\/li>\n<li>d) The set of natural numbers<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) The set of output values<\/li>\n<li>Which of the following is an example of a relation?\n<ul>\n<li>a) {(1, 2), (2, 3), (3, 4)}<\/li>\n<li>b) {1, 2, 3}<\/li>\n<li>c) (1, 2)<\/li>\n<li>d) x + y = 5<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) {(1, 2), (2, 3), (3, 4)}<\/li>\n<li>Which of the following is a function?\n<ul>\n<li>a) {(1, 2), (2, 3), (1, 4)}<\/li>\n<li>b) {(1, 2), (2, 3), (3, 4)}<\/li>\n<li>c) {(1, 2), (2, 3), (1, 3)}<\/li>\n<li>d) {(1, 2), (2, 2), (2, 3)}<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) {(1, 2), (2, 3), (3, 4)}<\/li>\n<li>What is the vertical line test used for?\n<ul>\n<li>a) To check if a relation is a function<\/li>\n<li>b) To find the domain<\/li>\n<li>c) To find the range<\/li>\n<li>d) To determine the type of function<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) To check if a relation is a function<\/li>\n<li>In a function, what does each input correspond to?\n<ul>\n<li>a) One or more outputs<\/li>\n<li>b) One output only<\/li>\n<li>c) No outputs<\/li>\n<li>d) Multiple outputs<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) One output only<\/li>\n<li>What is a one-to-one function?\n<ul>\n<li>a) Every output corresponds to one input<\/li>\n<li>b) Every input corresponds to multiple outputs<\/li>\n<li>c) Every input corresponds to only one output<\/li>\n<li>d) Every output corresponds to multiple inputs<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) Every output corresponds to one input<\/li>\n<li>Which of the following is NOT a function?\n<ul>\n<li>a) f(x) = x + 3<\/li>\n<li>b) f(x) = x\u00b2<\/li>\n<li>c) f(x) = \u221ax<\/li>\n<li>d) f(x) = \u00b1\u221ax<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> d) f(x) = \u00b1\u221ax<\/li>\n<li>What does a mapping diagram represent?\n<ul>\n<li>a) A geometric shape<\/li>\n<li>b) The relationship between inputs and outputs<\/li>\n<li>c) The range of a function<\/li>\n<li>d) The graph of a function<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) The relationship between inputs and outputs<\/li>\n<li>Which of the following is an example of a many-to-one function?\n<ul>\n<li>a) f(x) = x + 2<\/li>\n<li>b) f(x) = x\u00b2<\/li>\n<li>c) f(x) = 1\/x<\/li>\n<li>d) f(x) = \u221ax<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) f(x) = x\u00b2<\/li>\n<li>If a function f is defined by f(x) = x + 1, what is f(3)?\n<ul>\n<li>a) 3<\/li>\n<li>b) 4<\/li>\n<li>c) 5<\/li>\n<li>d) 6<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) 4<\/li>\n<li>What is the inverse of a function?\n<ul>\n<li>a) A function that performs the opposite operation<\/li>\n<li>b) A function that gives the same output for any input<\/li>\n<li>c) A function that gives random output<\/li>\n<li>d) A function that multiplies the input<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) A function that performs the opposite operation<\/li>\n<li>A function that pairs every element in the domain with exactly one element in the range is called a:\n<ul>\n<li>a) Relation<\/li>\n<li>b) One-to-one function<\/li>\n<li>c) Many-to-one function<\/li>\n<li>d) Non-functional relation<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) One-to-one function<\/li>\n<li>Which of the following is a valid notation for a function?\n<ul>\n<li>a) f(x) = x + 2<\/li>\n<li>b) x + 2 = f(x)<\/li>\n<li>c) f(x) = \u221ax<\/li>\n<li>d) All of the above<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> d) All of the above<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Class_11_Maths_Chapter_2_Relations_and_Functions_MCQs_Extra_Question\"><\/span>Class 11 Maths Chapter 2 Relations and Functions MCQs Extra Question<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>16. What is a surjective function?<\/strong><\/p>\n<ul>\n<li>a) A function with only one output<\/li>\n<li>b) A function where every element in the range is mapped to by an element in the domain<\/li>\n<li>c) A function with a single input<\/li>\n<li>d) A function with multiple outputs for a single input<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) A function where every element in the range is mapped to by an element in the domain<\/p>\n<div>\n<p><strong>17. Which of the following is a bijective function?<\/strong><\/p>\n<ul>\n<li>a) A function that is both one-to-one and onto<\/li>\n<li>b) A function that is not one-to-one<\/li>\n<li>c) A function with no range<\/li>\n<li>d) A function that is one-to-one but not onto<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) A function that is both one-to-one and onto<\/p>\n<\/div>\n<div>\n<p><strong>18. Which of the following is the correct representation of a function f(x) = 2x + 1?<\/strong><\/p>\n<ul>\n<li>a) f(1) = 3<\/li>\n<li>b) f(0) = 2<\/li>\n<li>c) f(3) = 7<\/li>\n<li>d) All of the above<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> d) All of the above<\/p>\n<\/div>\n<div>\n<p><strong>19. If f(x) = 3x &#8211; 2, what is f(0)?<\/strong><\/p>\n<ul>\n<li>a) -2<\/li>\n<li>b) 2<\/li>\n<li>c) 3<\/li>\n<li>d) 0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) -2<\/p>\n<\/div>\n<div>\n<p><strong>20. What type of relation is {(1, 2), (2, 3), (3, 4)}?<\/strong><\/p>\n<ul>\n<li>a) One-to-one<\/li>\n<li>b) Many-to-one<\/li>\n<li>c) Many-to-many<\/li>\n<li>d) Reflexive<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) One-to-one<\/p>\n<\/div>\n<div>\n<p><strong>21. Which of the following relations is reflexive?<\/strong><\/p>\n<ul>\n<li>a) {(1, 2), (2, 3), (3, 1)}<\/li>\n<li>b) {(1, 1), (2, 2), (3, 3)}<\/li>\n<li>c) {(1, 2), (2, 3), (3, 3)}<\/li>\n<li>d) {(1, 2), (2, 1), (3, 3)}<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) {(1, 1), (2, 2), (3, 3)}<\/p>\n<\/div>\n<div>\n<p><strong>22. What is the inverse of the function f(x) = 2x + 5?<\/strong><\/p>\n<ul>\n<li>a) f\u207b\u00b9(x) = (x &#8211; 5) \/ 2<\/li>\n<li>b) f\u207b\u00b9(x) = (x + 5) \/ 2<\/li>\n<li>c) f\u207b\u00b9(x) = 2x &#8211; 5<\/li>\n<li>d) f\u207b\u00b9(x) = x &#8211; 2<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) f\u207b\u00b9(x) = (x &#8211; 5) \/ 2<\/p>\n<\/div>\n<div>\n<p><strong>23. Which of the following is a notational way to write a function?<\/strong><\/p>\n<ul>\n<li>a) f(x)<\/li>\n<li>b) f(x) = y<\/li>\n<li>c) x = f(y)<\/li>\n<li>d) f = x + y<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) f(x)<\/p>\n<\/div>\n<div>\n<p><strong>24. What is the range of the function f(x) = x\u00b2?<\/strong><\/p>\n<ul>\n<li>a) x \u2208 R<\/li>\n<li>b) y \u2208 R<\/li>\n<li>c) y \u2265 0<\/li>\n<li>d) y &lt; 0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> c) y \u2265 0<\/p>\n<\/div>\n<div>\n<p><strong>25. Which of the following is true for a function f(x) = x\u00b2?<\/strong><\/p>\n<ul>\n<li>a) It is one-to-one<\/li>\n<li>b) It is onto<\/li>\n<li>c) It is neither one-to-one nor onto<\/li>\n<li>d) It is bijective<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> c) It is neither one-to-one nor onto<\/p>\n<\/div>\n<div>\n<p><strong>26. The inverse of a function exists only if the function is:<\/strong><\/p>\n<ul>\n<li>a) One-to-one<\/li>\n<li>b) Onto<\/li>\n<li>c) Both one-to-one and onto<\/li>\n<li>d) Neither one-to-one nor onto<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> c) Both one-to-one and onto<\/p>\n<\/div>\n<div>\n<p><strong>27. Which of the following is a function that is both one-to-one and onto?<\/strong><\/p>\n<ul>\n<li>a) f(x) = x\u00b2<\/li>\n<li>b) f(x) = 3x + 1<\/li>\n<li>c) f(x) = x + 2<\/li>\n<li>d) f(x) = \u00b1\u221ax<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) f(x) = 3x + 1<\/p>\n<\/div>\n<div>\n<p><strong>28. If f(x) = x + 3, then f\u207b\u00b9(x) is:<\/strong><\/p>\n<ul>\n<li>a) x &#8211; 3<\/li>\n<li>b) x + 3<\/li>\n<li>c) 3x<\/li>\n<li>d) x \/ 3<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) x &#8211; 3<\/p>\n<\/div>\n<div>\n<p><strong>29. What does the composition of two functions f and g mean?<\/strong><\/p>\n<ul>\n<li>a) Combining the functions to form a new function<\/li>\n<li>b) Adding the functions<\/li>\n<li>c) Subtracting the functions<\/li>\n<li>d) Multiplying the functions<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) Combining the functions to form a new function<\/p>\n<\/div>\n<div>\n<p><strong>30. If f(x) = x + 1 and g(x) = 2x, what is (f \u2218 g)(x)?<\/strong><\/p>\n<ul>\n<li>a) 2x + 1<\/li>\n<li>b) 2x + 3<\/li>\n<li>c) x + 2<\/li>\n<li>d) 2x &#8211; 1<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 2x + 1<\/p>\n<\/div>\n<div>\n<p><strong>31. What is the domain of the function f(x) = \u221a(x &#8211; 2)?<\/strong><\/p>\n<ul>\n<li>a) x \u2265 0<\/li>\n<li>b) x \u2265 2<\/li>\n<li>c) x &lt; 2<\/li>\n<li>d) x \u2208 R<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) x \u2265 2<\/p>\n<\/div>\n<div>\n<p><strong>32. Which of the following is an example of a constant function?<\/strong><\/p>\n<ul>\n<li>a) f(x) = x\u00b2<\/li>\n<li>b) f(x) = 3<\/li>\n<li>c) f(x) = 2x + 5<\/li>\n<li>d) f(x) = \u221ax<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) f(x) = 3<\/p>\n<\/div>\n<div>\n<p><strong>33. A function f(x) = x\u00b2 is:<\/strong><\/p>\n<ul>\n<li>a) One-to-one<\/li>\n<li>b) Many-to-one<\/li>\n<li>c) Onto<\/li>\n<li>d) Bijective<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) Many-to-one<\/p>\n<\/div>\n<div>\n<p><strong>34. Which of the following types of functions is represented by f(x) = 2x + 1?<\/strong><\/p>\n<ul>\n<li>a) Linear function<\/li>\n<li>b) Quadratic function<\/li>\n<li>c) Exponential function<\/li>\n<li>d) Constant function<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) Linear function<\/p>\n<\/div>\n<div>\n<p><strong>35. The graph of a one-to-one function passes the:<\/strong><\/p>\n<ul>\n<li>a) Horizontal line test<\/li>\n<li>b) Vertical line test<\/li>\n<li>c) Both tests<\/li>\n<li>d) None of the tests<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) Horizontal line test<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Benefits_of_Solving_Class_11_Chapter_3_Maths_MCQs\"><\/span>Benefits of Solving Class 11 Chapter 3 Maths MCQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li><strong>Improves Conceptual Understanding<\/strong><br \/>\nSolving MCQs helps you grasp key concepts better. It tests your knowledge and makes you apply the concepts in different scenarios, enhancing your understanding.<\/li>\n<li><strong>Boosts Problem-Solving Speed<\/strong><br \/>\nWith practice, solving MCQs improves your speed and accuracy in answering questions. This is particularly helpful during exams, where time management is crucial.<\/li>\n<li><strong>Identifies Knowledge Gaps<\/strong><br \/>\nMCQs highlight areas where you might have weaknesses. Identifying these gaps allows you to focus your study efforts on improving those concepts.<\/li>\n<li><strong>Enhances Retention<\/strong><br \/>\nWhen you solve multiple-choice questions, you engage in active recall, which improves memory retention. This helps in remembering formulas and concepts for longer.<\/li>\n<li><strong>Prepares for Exams<\/strong><br \/>\nMCQs simulate exam conditions, providing a good practice environment. It helps you become familiar with the exam pattern and boosts your confidence.<\/li>\n<li><strong>Improves Analytical Thinking<\/strong><br \/>\nMCQs challenge your critical thinking. They encourage you to analyze and evaluate the options before choosing the correct one, enhancing your analytical skills.<\/li>\n<li><strong>Covers a Wide Range of Topics<\/strong><br \/>\nBy solving MCQs, you cover a wide range of topics from Chapter 3 in Class 11 Maths. This broadens your knowledge and makes sure you&#8217;re prepared for any type of question in exams.<\/li>\n<li><strong>Reduces Exam Anxiety<\/strong><br \/>\nThe more you practice MCQs, the more confident you become in tackling questions. This reduces exam anxiety and helps you perform better under pressure.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>MCQs (Multiple-choice questions) for Class 11 Maths Chapter 2, &#8220;Relations and Functions,&#8221; along with their correct answers and detailed explanations. [&hellip;]<\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 11 Maths","_yoast_wpseo_title":"Class 11 Maths Chapter 2 Relations and Functions MCQs","_yoast_wpseo_metadesc":"These questions follow the latest CBSE guidelines for Class 11. Solving these MCQs will help students prepare well and score higher in their exams.","custom_permalink":"mcqs\/class-11-maths\/relations-and-functions\/"},"categories":[11038],"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>Class 11 Maths Chapter 2 Relations and Functions MCQs<\/title>\n<meta name=\"description\" content=\"These questions follow the latest CBSE guidelines for Class 11. 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