{"id":1915,"date":"2026-05-22T12:35:10","date_gmt":"2026-05-22T12:35:10","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1915"},"modified":"2026-05-22T12:35:13","modified_gmt":"2026-05-22T12:35:13","slug":"sets-exercise-1-5-solutions-class-11-maths-ncert","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/sets-exercise-1-5-solutions-class-11-maths-ncert\/","title":{"rendered":"Sets Exercise 1.5 Solutions Class 11 Maths NCERT"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">In this post, students can find complete NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.5 \u2013 Sets. This exercise covers complement of sets, properties of sets, Venn diagrams and important set identities with easy step-by-step explanations for CBSE exam preparation.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Particular<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Class<\/td><td>11<\/td><\/tr><tr><td>Subject<\/td><td>Mathematics<\/td><\/tr><tr><td>Chapter<\/td><td>Sets<\/td><\/tr><tr><td>Exercise<\/td><td>1.5<\/td><\/tr><tr><td>Board<\/td><td>NCERT \/ CBSE<\/td><\/tr><tr><td>Topics Covered<\/td><td>Complement of Sets &amp; Set Identities<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Complement of Sets<\/li>\n\n\n\n<li>Universal Set<\/li>\n\n\n\n<li>Venn Diagram<\/li>\n\n\n\n<li>Difference of Sets<\/li>\n\n\n\n<li>De Morgan\u2019s Laws<\/li>\n\n\n\n<li>Set Identities<\/li>\n\n\n\n<li>Union &amp; Intersection Properties<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The chapter explains complement of a set and operations related to universal sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Complement of Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><mi>U<\/mi><mo>\u2212<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A&#8217;=U-A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">De Morgan\u2019s First Law<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>\u222a<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>\u2229<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cup B)&#8217;=A&#8217;\\cap B&#8217;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">De Morgan\u2019s Second Law<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>\u2229<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>\u222a<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cap B)&#8217;=A&#8217;\\cup B&#8217;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Universal Set Property<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>\u222a<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><mi>U<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cup A&#8217;=U<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Null Set Property<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>\u2229<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><mi>\u03d5<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cap A&#8217;=\\phi<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-step Solutions<\/h1>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6,7,8,9,10}<br>A = {1,3,5,7,9}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find A\u2032.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Complement means elements of U which are not in A.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A\u2032 = {2,4,6,8,10}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {a,b,c,d,e,f,g}<br>A = {a,c,e,g}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find A\u2032.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Elements not present in A are:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A\u2032 = {b,d,f}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 3<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6,7,8}<br>A = {2,4,6,8}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">(i) A \u222a A\u2032<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u222a A\u2032 = U<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(ii) A \u2229 A\u2032<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u2229 A\u2032 = \u03c6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 4<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Verify De Morgan\u2019s Laws.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6}<br>A = {1,2,3}<br>B = {3,4,5}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Verify:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>\u222a<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>\u2229<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cup B)&#8217;=A&#8217;\\cap B&#8217;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">First,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u222a B = {1,2,3,4,5}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A \u222a B)' = {6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Now,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A' = {4,5,6}<br>B' = {1,2,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Hence,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A' \u2229 B' = {6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A \u222a B)' = A' \u2229 B'<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Verified.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Verify:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>\u2229<\/mo><mi>B<\/mi><msup><mo stretchy=\"false\">)<\/mo><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><msup><mi>A<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>\u222a<\/mo><msup><mi>B<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(A\\cap B)&#8217;=A&#8217;\\cup B&#8217;<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u2229 B = {3}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A \u2229 B)' = {1,2,4,5,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Now,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A' \u222a B' = {1,2,4,5,6}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Hence,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(A \u2229 B)' = A' \u222a B'<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Verified.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 5<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5,6,7,8,9}<br>A = {2,4,6,8}<br>B = {1,2,3,4}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(i)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u222a B<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u222a B = {1,2,3,4,6,8}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(ii)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u2229 B<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u2229 B = {2,4}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(iii)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A - B<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A - B = {6,8}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">(iv)<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>B - A<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>B - A = {1,3}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 6<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Show that:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>\u222a<\/mo><mi>\u03d5<\/mi><mo>=<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cup \\phi=A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Union with empty set does not add any element.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u222a \u03c6 = A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 7<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Show that:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mo>\u2229<\/mo><mi>U<\/mi><mo>=<\/mo><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">A\\cap U=A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Every element of A belongs to U.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence,<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u2229 U = A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forgetting universal set while finding complement<\/li>\n\n\n\n<li>Confusing complement with difference of sets<\/li>\n\n\n\n<li>Writing repeated elements<\/li>\n\n\n\n<li>Incorrect use of Venn diagrams<\/li>\n\n\n\n<li>Forgetting De Morgan\u2019s laws<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Learn all set formulas properly.<\/li>\n\n\n\n<li>Practice Venn diagram questions regularly.<\/li>\n\n\n\n<li>Always write distinct elements only once.<\/li>\n\n\n\n<li>Remember complement is taken with respect to universal set.<\/li>\n\n\n\n<li>Practice De Morgan\u2019s laws carefully.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>U = {1,2,3,4,5}<br>A = {1,3,5}<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Then A\u2032 is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. {2,4}<br>B. {1,3,5}<br>C. \u03c6<br>D. {2,3}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>A. {2,4}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Which relation is correct?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. A \u222a \u03c6 = \u03c6<br>B. A \u2229 U = \u03c6<br>C. A \u222a \u03c6 = A<br>D. A \u2229 A\u2032 = A<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>C. A \u222a \u03c6 = A<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A \u2229 B = \u03c6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">then sets are called:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. Equal sets<br>B. Universal sets<br>C. Disjoint sets<br>D. Finite sets<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>C. Disjoint sets<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Q1. What is complement of a set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Complement of set A contains all elements of universal set which are not in A.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q2. What is universal set?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The main set containing all elements under consideration is called universal set.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q3. What are disjoint sets?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Sets having no common element are called disjoint sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q4. What is De Morgan\u2019s Law?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These are important laws relating complement, union and intersection of sets.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">CTA (Call To Action)<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udcd8 Prepare Smarter with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Chapter-wise NCERT Solutions<br>\u2705 Important Notes &amp; MCQs<br>\u2705 Online Mock Tests<br>\u2705 Instant Result &amp; Analysis<br>\u2705 CBSE Board Preparation<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start learning now on <a target=\"_blank\" rel=\"noreferrer noopener\" href=\"https:\/\/www.mymockmate.com?utm_source=chatgpt.com\">MyMockMate<\/a><\/p>\n\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<p>Short Intro In this post, students can find complete NCERT Solutions for Class 11 Maths Chapter 1 Exercise<\/p>\n","protected":false},"author":1,"featured_media":1916,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_angie_page":false,"_surecart_dashboard_logo_width":"180px","_surecart_dashboard_show_logo":true,"_surecart_dashboard_navigation_orders":true,"_surecart_dashboard_navigation_invoices":true,"_surecart_dashboard_navigation_subscriptions":true,"_surecart_dashboard_navigation_downloads":true,"_surecart_dashboard_navigation_billing":true,"_surecart_dashboard_navigation_account":true,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"page_builder":"","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,9,135],"tags":[187,286,285,301,339,329,338,341,298,328,337,336,304,297,306,62,308,159,47,334,300,305,309,287,303,296,295,340,299],"class_list":["post-1915","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-11","category-maths-class-11","category-sets","tag-cbse-board-maths-preparation","tag-cbse-class-11-maths","tag-class-11-maths","tag-class-11-maths-notes","tag-complement-of-set-problems","tag-complement-of-sets","tag-de-morgan-laws","tag-de-morgans-laws-questions","tag-difference-of-sets","tag-disjoint-sets","tag-exercise-1-5-ncert-solutions","tag-exercise-1-5-solutions","tag-important-questions-sets","tag-intersection-of-sets","tag-mathematical-sets","tag-maths-chapter-1-solutions","tag-mymockmate","tag-ncert-maths-notes","tag-ncert-solutions","tag-set-identities","tag-set-operations","tag-set-theory-basics","tag-sets","tag-sets-chapter-1","tag-sets-mcqs","tag-union-of-sets","tag-universal-set","tag-universal-set-questions","tag-venn-diagram"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=1915"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915\/revisions"}],"predecessor-version":[{"id":1917,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1915\/revisions\/1917"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1916"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1915"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1915"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1915"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}