{"id":8348,"date":"2024-08-12T09:26:57","date_gmt":"2024-08-12T03:56:57","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=8348"},"modified":"2024-08-22T10:15:46","modified_gmt":"2024-08-22T04:45:46","slug":"ncert-solutions-class-11-maths-chapter-1-set-ex-1-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-3\/","title":{"rendered":"NCERT Solutions Class 11 Maths Chapter 1 Set \u2013 Ex 1.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 11 Maths\u00a0<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 11 Mathematics <strong>Chapter &#8211; 1 Sets <\/strong>Exercise 1.3 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter 1 (Sets)\u00a0<\/span><\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>Chapter : 1 Sets<\/strong><\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-1\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">NCERT Class 11 Maths Solution Ex &#8211; 1.1<\/span><\/a><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-2\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.2<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-4\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.4<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-5\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.5<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths-chapter-1-set-ex-1-6\/\" target=\"_blank\" rel=\"noopener\">NCERT Class 11 Maths Solution Ex &#8211; 1.6<\/a><\/span><\/li>\n<\/ul>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; border-style: solid; border-color: #000000; background-color: #bddeab; text-align: center; height: 28px;\"><span style=\"font-family: georgia, palatino, serif; color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 1.3<\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Make correct statements by filling in the symbols \u2282 or \u2284 in the blank spaces:\u00a0 <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> {2, 3, 4} ______{1, 2, 3, 4, 5}<br \/>\n<strong>(ii)\u00a0<\/strong>{<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>} ______ {<em>b<\/em>,\u00a0<em>c<\/em>,\u00a0<em>d<\/em>}<br \/>\n<strong>(iii)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em> is a student of Class XI of your school} ______ {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0student of your school}<br \/>\n<strong>(iv)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em> is a circle in the plane} ______ {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a circle in the same plane with radius 1 unit}<br \/>\n<strong>(v)<\/strong> {<em>x<\/em>:\u00a0<em>x<\/em> is a triangle in a plane} ______ {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a rectangle in the plane}<br \/>\n<strong>(vi)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em> is an equilateral triangle in a plane} ______ {<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a triangle in the same plane}<br \/>\n<strong>(vii)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em> is an even natural number} ______ {<em>x<\/em>:\u00a0<em>x<\/em> is an integer} <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;\u00a0 \u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong>\u00a0{2, 3, 4} <span style=\"text-decoration: underline;\"><strong>\u2282<\/strong> <\/span>{1, 2, 3, 4, 5}<br \/>\n<strong>(ii)\u00a0<\/strong>{<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>} <span style=\"text-decoration: underline;\"><strong>\u2284<\/strong> <\/span>{<em>b<\/em>,\u00a0<em>c<\/em>,\u00a0<em>d<\/em>}<br \/>\n<strong>(iii)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a student of Class XI of your school} <span style=\"text-decoration: underline;\"><strong>\u2282<\/strong> <\/span>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0student of your school}<br \/>\n<strong>(iv)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a circle in the plane} <span style=\"text-decoration: underline;\"><strong>\u2284<\/strong> <\/span>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a circle in the same plane with radius 1 unit}<br \/>\n<strong>(v)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a triangle in a plane} <span style=\"text-decoration: underline;\"><strong>\u2284<\/strong> <\/span>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a rectangle in the plane}<br \/>\n<strong>(vi)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an equilateral triangle in a plane} <span style=\"text-decoration: underline;\"><strong>\u2282<\/strong> <\/span>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a triangle in the same plane}<br \/>\n<strong>(vii)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an even natural number} <span style=\"text-decoration: underline;\"><strong>\u2282<\/strong> <\/span>{<em>x<\/em>:\u00a0<em>x<\/em> is an integer}\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Examine whether the following statements are true or false: <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)\u00a0<\/strong>{<em>a<\/em>,\u00a0<em>b<\/em>} \u2284 {<em>b<\/em>,\u00a0<em>c<\/em>,\u00a0<em>a<\/em>}<br \/>\n<strong>Solution &#8211;<\/strong> <em><strong>(False)<\/strong><\/em> Here each element of {<em>a<\/em>,\u00a0<em>b<\/em>} is an element of {<em>b<\/em>,\u00a0<em>c<\/em>,\u00a0<em>a<\/em>}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0<\/strong>{<em>a<\/em>,\u00a0<em>e<\/em>} \u2282 {<em>x<\/em>:\u00a0<em>x<\/em> is a vowel in the English alphabet}<br \/>\n<strong>Solution &#8211; <em>(True)<\/em>\u00a0<\/strong>We know that\u00a0<em>a<\/em>,\u00a0<em>e<\/em>\u00a0are two vowels of the English alphabet.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)<\/strong> {1, 2, 3} \u2282 {1, 3, 5}<br \/>\n<strong>Solution &#8211; <em>(False)\u00a0<\/em><\/strong>2 \u2208 {1, 2, 3} where, 2\u2209 {1, 3, 5}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv)\u00a0<\/strong>{<em>a<\/em>} \u2282 {<em>a<\/em>.\u00a0<em>b<\/em>,\u00a0<em>c<\/em>}<br \/>\n<strong>Solution &#8211; <em>(True)\u00a0<\/em><\/strong>Each element of {<em>a<\/em>} is also an element of {<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>}.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v)\u00a0<\/strong>{<em>a<\/em>} \u2208 (<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>)<br \/>\n<strong>Solution &#8211; <em>(False)\u00a0<\/em><\/strong>Elements of {<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>} are\u00a0<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>. Hence, {<em>a<\/em>} \u2282 {<em>a<\/em>,\u00a0<em>b<\/em>,\u00a0<em>c<\/em>}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi)\u00a0<\/strong>{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is an even natural number less than 6} \u2282 {<em>x<\/em>:\u00a0<em>x<\/em> is a natural number which divides 36}<br \/>\n<strong>Solution &#8211; <em>(True)<br \/>\n<\/em><\/strong>{<em>x<\/em>:\u00a0<em>x<\/em> is an even natural number less than 6} = {2, 4}<br \/>\n{<em>x<\/em>:\u00a0<em>x<\/em>\u00a0is a natural number which divides 36}= {1, 2, 3, 4, 6, 9, 12, 18, 36}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Let A= {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why? <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) {3, 4} \u2282 A<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>{3, 4} \u2282 A is <em><strong>incorrect<\/strong><\/em>. Here 3 \u2208 {3, 4}, where 3 \u2209 A.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0{3, 4}}\u2208 A<br \/>\nSolution &#8211; <\/strong>{3, 4} \u2208 A is <em><strong>correct<\/strong><\/em>. {3, 4} is an element of A. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)\u00a0{{3, 4}} \u2282 A<br \/>\nSolution &#8211; <\/strong>{{3, 4}} \u2282 A is <em><strong>correct<\/strong><\/em>. {3, 4} \u2208 {{3, 4}} and {3, 4} \u2208 A. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv)\u00a01 \u2208 A<br \/>\nSolution &#8211; <\/strong>1 \u2208 A is <em><strong>correct<\/strong><\/em>. 1 is an element of A. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 1 \u2282 A<br \/>\nSolution &#8211; <\/strong>1 \u2282 A is <em><strong>incorrect<\/strong><\/em>. An element of a set can never be a subset of itself. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi)\u00a0{1, 2, 5} \u2282 A<br \/>\nSolution &#8211; <\/strong>{1, 2, 5} \u2282 A is <em><strong>correct<\/strong><\/em>. Each element of {1, 2, 5} is also an element of A.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii)\u00a0{1, 2, 5} \u2208 A<br \/>\nSolution &#8211; <\/strong>{1, 2, 5} \u2208 A is <em><strong>incorrect<\/strong><\/em>. { 1, 2, 5 } is not an element of A. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(viii)\u00a0{1, 2, 3} \u2282 A<br \/>\nSolution &#8211; <\/strong>{1, 2, 3} \u2282 A is <em><strong>incorrect<\/strong><\/em>. 3 \u2208 {1, 2, 3}; where, 3 \u2209 A. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ix) \u2205 \u2208 A<br \/>\nSolution &#8211; <\/strong>\u2205 \u2208 A is <em><strong>incorrect<\/strong><\/em>. \u2205 is not an element of A. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(x) \u2205 \u2282 A<br \/>\nSolution &#8211; <\/strong>\u2205 \u2282 A is <em><strong>correct<\/strong><\/em>. \u2205 is a subset of every set. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(xi) {\u2205} \u2282 A<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>{\u2205} \u2282 A is <em><strong>incorrect<\/strong><\/em>. {\u2205} is not present in A.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Write down all the subsets of the following sets: <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)\u00a0{<em>a<\/em>}<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>Subsets of {a} are \u2205 and {a}. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0{<em>a<\/em>,\u00a0<em>b<\/em>}<br \/>\nSolution &#8211; <\/strong>Subsets of {a, b} are {a}, {b}, and {a, b}. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)\u00a0{1, 2, 3}<br \/>\nSolution &#8211; <\/strong>Subsets of {1, 2, 3} are \u2205, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, and {1, 2, 3}. \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) \u2205<br \/>\nSolution &#8211; <\/strong>Only subset of \u2205 is \u2205.\u00a0 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Write the following as intervals:\u00a0 <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><b><strong>(i) {x : x \u2208 R, \u2013 4 &lt; x \u2264 6}<br \/>\nSolution &#8211;<\/strong><\/b>\u00a0{x : x \u2208 R, \u2013 4 &lt; x \u2264 6} = (-4, 6]<b><strong><br \/>\n<\/strong><\/b><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><b><strong>(ii) {x : x \u2208 R, \u2013 12 &lt; x &lt; \u201310}<br \/>\nSolution &#8211;<\/strong><\/b>\u00a0{x : x \u2208 R, \u2013 12 &lt; x &lt; \u201310} = (-12, -10)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><b><strong>(iii) {x : x \u2208 R, 0 \u2264 x &lt; 7}<br \/>\nSolution &#8211;<\/strong><\/b>\u00a0{x : x \u2208 R, 0 \u2264 x &lt; 7} = [0, 7)<b><strong><br \/>\n<\/strong><\/b><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><b><strong>(iv) {x : x \u2208 R, 3 \u2264 x \u2264 4}<br \/>\n<\/strong><\/b><strong>Solution &#8211;\u00a0<\/strong>{x : x \u2208 R, 3 \u2264 x \u2264 4} = [3, 4] <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. Write the following intervals in set-builder form:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)\u00a0(\u20133, 0)<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>(\u20133, 0) = {<em>x<\/em>:\u00a0<em>x\u00a0<\/em>\u2208 R, \u20133 &lt;\u00a0<em>x<\/em>\u00a0&lt; 0}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0[6, 12]<br \/>\nSolution &#8211; <\/strong>[6, 12] = {x : x \u2208 R, 6 \u2264 x \u2264 12}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)\u00a0(6, 12]<br \/>\nSolution &#8211; <\/strong>(6, 12] = {x : x \u2208 R, 6 &lt; x \u2264 12}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) [\u201323, 5)<br \/>\n<\/strong><strong>Solution &#8211;\u00a0<\/strong>[\u201323, 5) = {x : x \u2208 R, -23 \u2264 x &lt; 5}<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. What universal set (s) would you propose for each of the following? <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) The set of right triangles<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>Among the set of right triangles, the universal set is the set of triangles or the set of polygons.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0The set of isosceles triangles<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>Among the set of isosceles triangles, the universal set is the set of triangles or the set of polygons or the set of two-dimensional figures.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8. Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universals set (s) for all the three sets A, B and C? <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) {0, 1, 2, 3, 4, 5, 6}<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>A \u2282 {0, 1, 2, 3, 4, 5, 6}<\/span><br \/>\n<span style=\"color: #000000;\">B \u2282 {0, 1, 2, 3, 4, 5, 6}<\/span><br \/>\n<span style=\"color: #000000;\">But, C \u2284 {0, 1, 2, 3, 4, 5, 6} <\/span><br \/>\n<span style=\"color: #000000;\">Hence, the set {0, 1, 2, 3, 4, 5, 6} cannot be the universal set for the sets A, B, and C.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) \u2205<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>A \u2284 \u2205, B \u2284 \u2205, C \u2284 \u2205 <\/span><br \/>\n<span style=\"color: #000000;\">Hence, \u2205 cannot be the universal set for the sets A, B, and C.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)\u00a0{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}<br \/>\nSolution &#8211;<br \/>\n<\/strong>A \u2282 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}<\/span><br \/>\n<span style=\"color: #000000;\">B \u2282 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}<\/span><br \/>\n<span style=\"color: #000000;\">C \u2282 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}<\/span><br \/>\n<span style=\"color: #000000;\">Hence, the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set for the sets A, B, and C. <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) {1, 2, 3, 4, 5, 6, 7, 8}<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>A \u2282 {1, 2, 3, 4, 5, 6, 7, 8}\u00a0<\/span><br \/>\n<span style=\"color: #000000;\">B \u2282 {1, 2, 3, 4, 5, 6, 7, 8}\u00a0<\/span><br \/>\n<span style=\"color: #000000;\">But, C \u2284 {1, 2, 3, 4, 5, 6, 7, 8}\u00a0<\/span><br \/>\n<span style=\"color: #000000;\">Hence, the set {1, 2, 3, 4, 5, 6, 7, 8} cannot be the universal set for the sets A, B, and C.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-11-maths\/\" target=\"_blank\" rel=\"noopener\"><b><i>Go Back To Chapters<\/i><\/b><\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 11 Maths\u00a0 The NCERT Solutions in English Language for Class 11 Mathematics Chapter &#8211; 1 Sets Exercise 1.3 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 1 (Sets)\u00a0 Chapter : 1 Sets NCERT Class 11 Maths Solution Ex &#8211; 1.1 NCERT Class 11 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1674],"tags":[1675,1679,1676,1683,1678,1680,1681],"class_list":["post-8348","post","type-post","status-publish","format-standard","hentry","category-class-11-maths","tag-class-11-ncert-mathematics-solutions","tag-class-11-ncert-solutions","tag-ncert-class-11-mathematics-chapter-1-sets-solutions","tag-ncert-class-11-mathematics-exercise-1-3-solutions","tag-ncert-class-11-mathematics-solutions","tag-ncert-solutions-class-11-mathematics","tag-ncert-solutions-class-11-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - 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