{"id":4582,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/"},"modified":"2016-05-17T10:34:15","modified_gmt":"2016-05-17T05:04:15","slug":"ncert-solutions-class-11-maths-exercise-1-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 1.3"},"content":{"rendered":"
\n

Exercise 1.3<\/strong><\/p>\n

1. Make correct statements by filling in the symbols <\/strong> or <\/strong> in the blank spaces:<\/strong><\/p>\n<\/div>\n

(i) {2, 3, 4} _______ {1, 2, 3, 4, 5}<\/strong><\/p>\n

\n

(ii) <\/strong><\/p>\n<\/div>\n

(iii) {<\/strong> is a student of class XI of your school} _______ {<\/strong> student of your school}<\/strong><\/p>\n

\n

(iv) {<\/strong> is a circle in the plane} _______ {<\/strong> is a circle in the same plane with 1 unit}<\/strong><\/p>\n

(v) {<\/strong> is a triangle in plane} _______ {<\/strong>is a rectangle in the same plane}<\/strong><\/p>\n

(vi) {<\/strong> is an equilateral triangle in a plane} _______ {<\/strong> is a rectangle in the same plane}<\/strong><\/p>\n

(vii) {<\/strong> is an even natural number} _______ {<\/strong> is an integer}<\/strong><\/p>\n

Ans.<\/strong> (i)<\/strong> <\/p>\n

(ii)<\/strong> <\/p>\n

(iii)<\/strong> <\/p>\n

(iv)<\/strong> <\/p>\n

(v)<\/strong> <\/p>\n

(vi)<\/strong> <\/p>\n

(vii)<\/strong> <\/p>\n

\n

2. Examine whether the following statements are true or false:<\/strong><\/p>\n<\/div>\n

(i) <\/strong><\/p>\n

\n

(ii) <\/strong> {<\/strong> is a vowel in the English alphabet}<\/strong><\/p>\n

(iii) <\/strong><\/p>\n

(iv) <\/strong><\/p>\n

(v) <\/strong><\/p>\n

(vi) {<\/strong> is an even natural number less than 6}<\/strong>{<\/strong> is a natural number which divide 36}<\/strong><\/p>\n

Ans. (i) <\/strong>Let A = and B = <\/p>\n

Here, every element of set A is an element of set B.<\/p>\n

A B<\/p>\n

Therefore, statement is false.<\/p>\n

(ii) <\/strong>Let A = and B<\/p>\n

= { is a vowel in the English alphabet}<\/p>\n

= <\/p>\n

Here, every element of set A is an element of set B.<\/p>\n

A B<\/p>\n

Therefore, statement is true.<\/p>\n

(iii) <\/strong>Let A = {1, 2, 3} and B = {1, 3, 5}<\/p>\n

Here, 2 A but 2 B<\/p>\n

A B<\/p>\n

Therefore, statement is false.<\/p>\n

(iv) <\/strong>Let A = and B = <\/p>\n

Here, every element of set A is an element of set B.<\/p>\n

A B<\/p>\n

Therefore, statement is true.<\/p>\n

(v) <\/strong>Let A = and B = <\/p>\n

Here, B<\/p>\n

Therefore, statement is false.<\/p>\n

(vi) <\/strong>Let A = { is an even natural number less than 6}<\/p>\n

= {2, 4}<\/p>\n

And B = }{ is a natural number which divide 36}<\/p>\n

= {1, 2, 3, 4, 6, 12, 18, 36]\n

Here, every element of set A is an element of set B.<\/p>\n

A B<\/p>\n

Therefore, statement is true.<\/p>\n

\n

3. Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why:<\/strong><\/p>\n<\/div>\n

\n

(i) {3, 4} A <\/strong><\/p>\n

(ii) {3, 4} A <\/strong><\/p>\n

(iii) {{3, 4}} A<\/strong><\/p>\n

(iv) 1 A <\/strong><\/p>\n

(v) 1 A <\/strong><\/p>\n

(vi) {1, 2, 5} A<\/strong><\/p>\n

(vii) {1, 2, 5} A <\/strong><\/p>\n

(viii) {1, 2, 3} A <\/strong><\/p>\n

(ix) A<\/strong><\/p>\n

(x) A<\/strong><\/p>\n

Ans. (i) <\/strong>{3, 4} is a member of set A.<\/p>\n

{3, 4} A<\/p>\n

Therefore, {3, 4} A is incorrect.<\/p>\n

(ii) <\/strong>{3, 4} is a member of set A. Therefore, {3, 4} A is incorrect.<\/p>\n

(iii) <\/strong>{3, 4} is a member of set A.<\/p>\n

{{3, 4}} is a set.<\/p>\n

Therefore, {{3, 4}} A is incorrect<\/p>\n

(iv) <\/strong>1 is a member of set A. Therefore 1 A is correct.<\/p>\n

(v) <\/strong>1 is not a set, it is a member of set A. Therefore, 1 A is incorrect.<\/p>\n

(vi) <\/strong>1, 2, 5 are the members of set A.<\/p>\n

{1, 2, 5} is a subset of set A.<\/p>\n

Therefore, {1, 2, 5} A is correct.<\/p>\n

(vii) <\/strong>1, 2, 5 are the members of set A.<\/p>\n

{1, 2, 5} is a subset of set A.<\/p>\n

Therefore, {1, 2, 5} A is incorrect.<\/p>\n

(viii) <\/strong>3 is not a member of set A.<\/p>\n

{1, 2, 3} is not a subset of set A.<\/p>\n

Therefore, {1, 2, 3} A is incorrect.<\/p>\n

(ix) <\/strong> is not a member of set A. Therefore, A is correct.<\/p>\n

(x) <\/strong> is not a member of set A. Therefore, A is incorrect.<\/p>\n

\n

4. Write down all the subsets of the following sets:<\/strong><\/p>\n

(i) <\/strong><\/p>\n

(ii) <\/strong><\/p>\n

(iii) {1, 2, 3} <\/strong><\/p>\n

(iv) <\/strong><\/p>\n

Ans. (i) <\/strong>Number of elements in given set = 1.<\/p>\n

Number of subsets of given set = = 2<\/p>\n

Therefore, Subsets of given set are <\/p>\n

(ii) <\/strong>Number of elements in given set = 2<\/p>\n

Number of subsets of given set = = 4<\/p>\n

Therefore, Subsets of given set are<\/p>\n

<\/p>\n

(iii) <\/strong>Number of elements in given set = 3<\/p>\n

Number of subsets of given set = = 8<\/p>\n

Therefore, Subsets of given set are<\/p>\n

<\/p>\n

(iv) <\/strong>Number of elements in given set = 0<\/p>\n

Number of subsets of given set = = 1<\/p>\n

Therefore, Subsets of given set are <\/p>\n

\n

5. How many elements has P(A), if A = <\/strong> ?<\/strong><\/p>\n

Ans. <\/strong>Number of elements in set A = 0<\/p>\n

Number of subsets of given set = = 1<\/p>\n

Therefore, number of elements of P (A) is 1.<\/p>\n

\n

6. Write the following as intervals:<\/strong><\/p>\n

(i) { R, } <\/strong><\/p>\n

(ii) { R, }<\/strong><\/p>\n

(iii) { R, } <\/strong><\/p>\n

(iv) { R, }<\/strong><\/p>\n

Ans. (i) <\/strong>Let A = { R, }<\/p>\n

It can be written in the form of interval as <\/p>\n

(ii) <\/strong>Let A = { R, }<\/p>\n

It can be written in the form of interval as <\/p>\n

(iii) <\/strong>Let A = { R, }<\/p>\n

It can be written in the form of interval as <\/p>\n

(iv) <\/strong>Let A = { R, }<\/p>\n

It can be written in the form of interval as <\/p>\n

\n

7. Write the following intervals in set-builder form:<\/strong><\/p>\n

(i) <\/strong><\/p>\n

(ii) [6, 12] <\/strong><\/p>\n

(iii) (6, 12] <\/strong><\/p>\n

(iv) <\/strong><\/p>\n

Ans. (i)<\/strong> { R, }<\/p>\n

(ii)<\/strong> { R, }<\/p>\n

(iii)<\/strong> { R, }<\/p>\n

(iv)<\/strong> { R, }<\/p>\n

\n

8. What universal set(s) would you propose for each of the following:<\/strong><\/p>\n

(i) The set of right triangles <\/strong><\/p>\n

(ii) The set of isosceles triangles<\/strong><\/p>\n

Ans. (i) <\/strong>Right triangle is a type of triangle. Therefore, the set of triangles contain all types of triangles.<\/p>\n

U = { is a triangle in plane}<\/p>\n

(ii) <\/strong>Isosceles triangle is a type of triangle. Therefore, the set of triangles contain all types of triangles.<\/p>\n

U = { is a triangle in plane}<\/p>\n

\n

9. Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universal set(s) for all the three sets A, B and C:<\/strong><\/p>\n

(i) {0, 1, 2, 3, 4, 5, 6} <\/strong><\/p>\n

(ii) <\/strong><\/p>\n

(iii) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} <\/strong><\/p>\n

(iv) {1, 2, 3, 4, 5, 6, 7, 8}<\/strong><\/p>\n

Ans. (i) <\/strong>{0, 1, 2, 3, 4, 5, 6} is not a universal set for A, B, C because 8 C but 8 is not a member of {0, 1, 2, 3, 4, 5, 6}.<\/p>\n

(ii) <\/strong> is a set which contains no element. therefore, it is not a universal set for A, B, C.<\/p>\n

(iii) <\/strong>{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is a universal set for A, B, C because all members of A, B, C are present in {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.<\/p>\n

(iv) <\/strong>{1, 2, 3, 4, 5, 6, 7, 8} is not a universal set for A, B, C because 0 C but 0 is not a member of {1, 2, 3, 4, 5, 6, 7, 8}.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Exercise 1.3 1. Make correct statements by filling in the symbols or in the blank spaces: (i) {2, 3, 4} _______ {1, 2, 3, 4, 5} (ii) (iii) { is a student of class XI of your school} _______ { student of your school} (iv) { is a circle in the plane} _______ { is … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4582","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 1.3 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 1.3 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 1.3 1. Make correct statements by filling in the symbols or in the blank spaces: (i) {2, 3, 4} _______ {1, 2, 3, 4, 5} (ii) (iii) { is a student of class XI of your school} _______ { student of your school} (iv) { is a circle in the plane} _______ { is ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\" \/>\n<meta property=\"og:site_name\" content=\"myCBSEguide\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mycbseguide\/\" \/>\n<meta property=\"article:published_time\" content=\"2016-05-17T04:19:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2016-05-17T05:04:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png\" \/>\n<meta name=\"author\" content=\"myCBSEguide\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:site\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"myCBSEguide\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\"},\"author\":{\"name\":\"myCBSEguide\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\"},\"headline\":\"NCERT Solutions class-11 Maths Exercise 1.3\",\"datePublished\":\"2016-05-17T04:19:00+00:00\",\"dateModified\":\"2016-05-17T05:04:15+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\"},\"wordCount\":831,\"commentCount\":4,\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png\",\"articleSection\":[\"Class 11\",\"NCERT Solutions\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\",\"name\":\"NCERT Solutions class-11 Maths Exercise 1.3 | myCBSEguide\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png\",\"datePublished\":\"2016-05-17T04:19:00+00:00\",\"dateModified\":\"2016-05-17T05:04:15+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage\",\"url\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png\",\"contentUrl\":\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mycbseguide.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"CBSE\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Class 11\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse\/cbse-class-11\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"NCERT Solutions class-11 Maths Exercise 1.3\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"name\":\"myCBSEguide\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\",\"name\":\"myCBSEguide\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"contentUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"width\":180,\"height\":180,\"caption\":\"myCBSEguide\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/mycbseguide\/\",\"https:\/\/x.com\/mycbseguide\",\"https:\/\/www.linkedin.com\/company\/mycbseguide\/\",\"http:\/\/in.pinterest.com\/mycbseguide\/\",\"https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\",\"name\":\"myCBSEguide\",\"sameAs\":[\"http:\/\/mycbseguide.com\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions class-11 Maths Exercise 1.3 | myCBSEguide","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions class-11 Maths Exercise 1.3 | myCBSEguide","og_description":"Exercise 1.3 1. Make correct statements by filling in the symbols or in the blank spaces: (i) {2, 3, 4} _______ {1, 2, 3, 4, 5} (ii) (iii) { is a student of class XI of your school} _______ { student of your school} (iv) { is a circle in the plane} _______ { is ... Read more","og_url":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/","og_site_name":"myCBSEguide","article_publisher":"https:\/\/www.facebook.com\/mycbseguide\/","article_published_time":"2016-05-17T04:19:00+00:00","article_modified_time":"2016-05-17T05:04:15+00:00","og_image":[{"url":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png","type":"","width":"","height":""}],"author":"myCBSEguide","twitter_card":"summary_large_image","twitter_creator":"@mycbseguide","twitter_site":"@mycbseguide","twitter_misc":{"Written by":"myCBSEguide","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#article","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/"},"author":{"name":"myCBSEguide","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65"},"headline":"NCERT Solutions class-11 Maths Exercise 1.3","datePublished":"2016-05-17T04:19:00+00:00","dateModified":"2016-05-17T05:04:15+00:00","mainEntityOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/"},"wordCount":831,"commentCount":4,"publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage"},"thumbnailUrl":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png","articleSection":["Class 11","NCERT Solutions"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/","url":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/","name":"NCERT Solutions class-11 Maths Exercise 1.3 | myCBSEguide","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage"},"thumbnailUrl":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png","datePublished":"2016-05-17T04:19:00+00:00","dateModified":"2016-05-17T05:04:15+00:00","breadcrumb":{"@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#primaryimage","url":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png","contentUrl":"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch01\/Ex1.3\/image001.png"},{"@type":"BreadcrumbList","@id":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-3\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mycbseguide.com\/blog\/"},{"@type":"ListItem","position":2,"name":"CBSE","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse\/"},{"@type":"ListItem","position":3,"name":"Class 11","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse\/cbse-class-11\/"},{"@type":"ListItem","position":4,"name":"NCERT Solutions class-11 Maths Exercise 1.3"}]},{"@type":"WebSite","@id":"https:\/\/mycbseguide.com\/blog\/#website","url":"https:\/\/mycbseguide.com\/blog\/","name":"myCBSEguide","description":"","publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mycbseguide.com\/blog\/#organization","name":"myCBSEguide","url":"https:\/\/mycbseguide.com\/blog\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/","url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","contentUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","width":180,"height":180,"caption":"myCBSEguide"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/mycbseguide\/","https:\/\/x.com\/mycbseguide","https:\/\/www.linkedin.com\/company\/mycbseguide\/","http:\/\/in.pinterest.com\/mycbseguide\/","https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ"]},{"@type":"Person","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65","name":"myCBSEguide","sameAs":["http:\/\/mycbseguide.com"]}]}},"_links":{"self":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4582","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/comments?post=4582"}],"version-history":[{"count":1,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4582\/revisions"}],"predecessor-version":[{"id":6382,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/4582\/revisions\/6382"}],"wp:attachment":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media?parent=4582"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/categories?post=4582"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/tags?post=4582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}