{"id":40987,"date":"2019-06-06T04:42:40","date_gmt":"2019-06-06T04:42:40","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=40987"},"modified":"2020-12-21T12:34:29","modified_gmt":"2020-12-21T07:04:29","slug":"plus-one-maths-chapter-wise-previous-questions-chapter-12","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/","title":{"rendered":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry"},"content":{"rendered":"

Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 12 Introduction to Three Dimensional Geometry<\/h2>\n

Plus One Maths Three Dimensional Geometry 3 Marks Important Questions<\/h3>\n

Question 1.
\nConsider the triangle with vertices (0,7,- 10), (1,6,- 6) and (4,9,- 6) (MARCH-2010)<\/span>
\ni) Find the sides AB, BC and CA.
\nii) Prove that the triangle is right triangle.
\niii) Find the centroid of the triangle.
\nAnswer:
\n\"Plus<\/p>\n

Question 2.
\ni) Find the co-ordinates of the points which trisect the line segment joining the points P(4,0,1) and Q(2,4,0). (IMP-2010)<\/span>
\nii) Find the locus Of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2).
\nAnswer:
\ni)
\n\"Plus
\nLet R and S be two points which trisect the line join of PQ. Therefore PR = RS = SQ
\n\"Plus<\/p>\n

Question 3.
\ni) Write the coordinate of the centroid of the triangle whose vertices are
\n(x1<\/sub>, y1<\/sub>, z1<\/sub>) ; (x1<\/sub>, y1<\/sub>, z1<\/sub>)and(x1<\/sub>, y1<\/sub>, z1<\/sub>)\u00a0(IMP-2011)<\/span>
\nii) If the centroid of the triangle ABC is (1,1,1) and A and B are (3,-5,7), (1,1,2) then find the coordinate of C.
\nAnswer:
\n\"Plus<\/p>\n

Question 4.
\nGiven three points A(- 4,6,10), B(2,4,6) and C(14,0,- 2)\u00a0(IMP-2012)<\/span>
\ni) Find AB.
\nii) Prove that the points A, B and C are collinear.
\nAnswer:
\ni)
\n\"Plus
\nii)
\n\"Plus<\/p>\n

Question 5.
\nName the octants in which the points A(1,6,- 6) and B(- 1,- 6,- 6). Find the distance between A and B.\u00a0(IMP-2012)<\/span>
\nAnswer:
\nASP A(1,6,- 6) and B(-1 ,-6,-6) in the octants XOYZ’ and X’OY’Z’ respectively.
\n\"Plus<\/p>\n

Question 6.
\ni) If P is a point in YZ-plane, then its x coordinate is …………..\u00a0(IMP-2013)<\/span>
\nii) Find the ratio in which the YZ-plane divides the line segment formed by joining the points (-2,4,7) and (3,-5,8).
\nAnswer:
\ni) Zero
\nii) Let the ratio be kA. Since the point lies on the YZ plane, its x-coordinate. will be zero. Hence
\n\"Plus
\nTherefore the ratio is 2:3.<\/p>\n

Question 7.
\ni) Find the distance between the points (2- 1,3) and (- 2,1,3)\u00a0(MARCH-2013)<\/span>
\nii) Find the coordinate of the point which divides the line segment joining the points (- 2,3,5) and (1,- 4,6) internally in the ratio of 2:3.
\nAnswer:
\n\"Plus<\/p>\n

Question 8.
\ni) Name the octant in which the points (3,- 2,1) and (- 5,- 6,1) lie.\u00a0(MARCH-2014)<\/span>
\nii) Find the distance between the points P(1,- 3,4) and Q(- 4,1,2).
\n(March(Commerce) – 2014)
\nAnswer:
\ni) (3,-2,1) lie on octant XOYZ and (-5,-6,1) lie on octant X’OY\u2019Z.
\nii)
\n\"Plus<\/p>\n

Question 9.
\nFind the centroid of the triangle with vertices (3,- 5,7), (- 1,7,- 6) and (1,1,2).\u00a0(IMP-2010)<\/span>
\nAnswer:
\n\"Plus
\n= (1,1,1)<\/p>\n

Question 10.
\nShow that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.\u00a0(IMP-2014)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 11.
\nFind the coordinate of the points which divides the line segment joining the points (- 2,3,5) and (1,- 4,6) in the ration 2 : 3 internally.\u00a0(IMP-2014)<\/span>
\nAnswer:
\ncoordinate of the point is:
\n\"Plus<\/p>\n

Question 12.
\ni) State whether the following is TRUE or FALSE.\u00a0(MAY-2017)<\/span>
\n\u201cThe point (4,-2,-5) lies in the eight octant.\u201d
\nii) Find the equation of the set of points such that its distances from the points A (3,4,- 5) and B (- 2,1,4) are equal.
\nAnswer:
\ni) True
\nii) PA = PB
\n\"Plus<\/p>\n

Question 13.
\ni) The distance between the point (1,-2,3) and (4,1,2) is ………….\u00a0(MARCH-2017)<\/span>
\n(a) \u221a2
\n(b) \u221a19
\n(c) \u221a11
\n(d) \u221a15
\nii) the centroid of the triangle ABC is at the point (1,2,3). If the coordinates of A and B are (3,- 5,7) and (- 1,7,- 6) respectively. Find the coordinates of the point C.
\nAnswer:
\ni) (b) \u221a19
\nii)
\n\"Plus<\/p>\n

Plus One Maths Three Dimensional Geometry 4 Marks Important Questions<\/h3>\n

Question 1.
\nConsider the points A(- 2,3,5), B(1,2,3) and C(7,0,- 1)\u00a0(MARCH-2011)<\/span>
\ni) Using the distance formula, show that the points A, B and C are collinear.
\nii) Find the ratio in which B divides the line segment AC.
\nAnswer:
\n\"Plus<\/p>\n

Question 2.
\ni) The x – coordinate of the point in the YZ plane is …………..\u00a0(MARCH-2013)<\/span>
\nii) Find the ratio in which the YZ plane divides the line segment joining the points (- 2,4,7) and (3,- 5,8).
\nAnswer:
\ni) zero
\nii) Let the ratio be k:1. Since the point lies on the YZ plane, its Xrcoordinate will be zero. Hence
\n\"Plus<\/p>\n

Question 3.
\ni) Find the distance between the points (2,3,5) and (4,3,1).\u00a0(MARCH-2014)<\/span>
\nii) Find the ratio in which the line segment joining the points A(4,8,10) and B (6,10,-8) is divided by the XY plane. (March (Science) – 2014)
\nAnswer:
\n\"Plus<\/p>\n

Question 4.
\nA point in the XZ plane is\u00a0(MARCH-2015)<\/span>
\na) (1,1,1)
\nb) (2,0,3)
\nc) (2,3,0)
\nd) (-1,2,3)
\nii) Show that the points A(1,2,3), B(- 1,- 2,- 1), C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.
\nAnswer:
\n\"Plus
\n\"Plus
\nHere; AB = CD and BC = DA, therefore ABCD is a parallelogram<\/p>\n

Question 5.
\ni) Which of the following lies in the sixth octant?\u00a0(MARCH-2016)<\/span>
\na) (- 3,- 2,- 2)
\nb) (- 3,1,- 2)
\nc) (3,- 1,2)
\nd) (3,- 1,-2)
\nii) Find the ratio in which the YZ plane divides the line joining the points (- 2, 4, 7) and (3,- 5,8)
\nAnswer:
\ni) b) (- 3,1,- 2)
\nii) Let the ratio be k:1. Since the point lies on the YZ plane, its Xrcoordinate will be zero. Hence
\n\"Plus<\/p>\n

Question 6.
\ni) Which one of the following points lies in the sixth octant?\u00a0(IMP-2015)<\/span>
\na) (-4,2,-5)
\nb) (-4,-2,-5)
\nc) (4,-2,-5)
\nd) (4,2,5)
\nii) Find the ratio in which the YZ plane divides the line segment formed by joining the points (-2,4,7) and (3,-5,8).
\nAnswer:
\ni) a) (-4,2,-5)
\nii) Let the line joining the points A(-2,4,7) and B(3,-5, 8) is divided by the yz-plane in the ratio k: 1.
\nThen the coordinate
\n\"Plus<\/p>\n

Plus One Maths Three Dimensional Geometry 6 Marks Important Questions<\/h3>\n

Question 1.
\ni) If \\(\\left(\\frac{5}{3}, \\frac{22}{3}, \\frac{-22}{3}\\right)\\) is the centriod of is the centroid of \u2206PQR with vertices P(a,7,-10), Q(1,2b,-6) and R(4,9,3c), Find the value of a, b, c.\u00a0(MARCH-2012)<\/span>
\nii) Prove that \u2206PQR is isosceles.
\nAnswer:
\n\"Plus<\/p>\n

Plus One Maths Chapter Wise Previous Questions and Answer<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"

Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 12 Introduction to Three Dimensional Geometry Plus One Maths Three Dimensional Geometry 3 Marks Important Questions Question 1. Consider the triangle with vertices (0,7,- 10), (1,6,- 6) and (4,9,- 6) (MARCH-2010) i) Find the sides AB, BC and CA. ii) Prove that the triangle is right triangle. … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[42728],"tags":[],"yoast_head":"\nPlus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry - CBSE Library<\/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:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry\" \/>\n<meta property=\"og:description\" content=\"Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 12 Introduction to Three Dimensional Geometry Plus One Maths Three Dimensional Geometry 3 Marks Important Questions Question 1. Consider the triangle with vertices (0,7,- 10), (1,6,- 6) and (4,9,- 6) (MARCH-2010) i) Find the sides AB, BC and CA. ii) Prove that the triangle is right triangle. ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2019-06-06T04:42:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-12-21T07:04:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png\",\"width\":353,\"height\":460,\"caption\":\"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/\",\"name\":\"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry - CBSE Library\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#primaryimage\"},\"datePublished\":\"2019-06-06T04:42:40+00:00\",\"dateModified\":\"2020-12-21T07:04:29+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/cbselibrary.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#webpage\"},\"author\":{\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\"},\"headline\":\"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry\",\"datePublished\":\"2019-06-06T04:42:40+00:00\",\"dateModified\":\"2020-12-21T07:04:29+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#webpage\"},\"wordCount\":941,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png\",\"articleSection\":[\"HSSLiVE\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/cbselibrary.com\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry - CBSE Library","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:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/","og_locale":"en_US","og_type":"article","og_title":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry","og_description":"Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 12 Introduction to Three Dimensional Geometry Plus One Maths Three Dimensional Geometry 3 Marks Important Questions Question 1. Consider the triangle with vertices (0,7,- 10), (1,6,- 6) and (4,9,- 6) (MARCH-2010) i) Find the sides AB, BC and CA. ii) Prove that the triangle is right triangle. ... Read more","og_url":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/","og_site_name":"CBSE Library","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2019-06-06T04:42:40+00:00","article_modified_time":"2020-12-21T07:04:29+00:00","og_image":[{"url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png"}],"twitter_card":"summary","twitter_misc":{"Written by":"Prasanna","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/cbselibrary.com\/#organization","name":"Aplus Topper","url":"https:\/\/cbselibrary.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#logo","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/cbselibrary.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/cbselibrary.com\/#website","url":"https:\/\/cbselibrary.com\/","name":"CBSE Library","description":"Improve your Grades","publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/cbselibrary.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#primaryimage","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png","width":353,"height":460,"caption":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry 1"},{"@type":"WebPage","@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#webpage","url":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/","name":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry - CBSE Library","isPartOf":{"@id":"https:\/\/cbselibrary.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#primaryimage"},"datePublished":"2019-06-06T04:42:40+00:00","dateModified":"2020-12-21T07:04:29+00:00","breadcrumb":{"@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/cbselibrary.com\/"},{"@type":"ListItem","position":2,"name":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry"}]},{"@type":"Article","@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#article","isPartOf":{"@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#webpage"},"author":{"@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794"},"headline":"Plus One Maths Chapter Wise Previous Questions Chapter 12 Introduction to Three Dimensional Geometry","datePublished":"2019-06-06T04:42:40+00:00","dateModified":"2020-12-21T07:04:29+00:00","mainEntityOfPage":{"@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#webpage"},"wordCount":941,"commentCount":0,"publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"image":{"@id":"https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#primaryimage"},"thumbnailUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-12-Introduction-to-Three-Dimensional-Geometry-1.png","articleSection":["HSSLiVE"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/cbselibrary.com\/plus-one-maths-chapter-wise-previous-questions-chapter-12\/#respond"]}]},{"@type":"Person","@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/cbselibrary.com\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/40987"}],"collection":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/comments?post=40987"}],"version-history":[{"count":0,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/40987\/revisions"}],"wp:attachment":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/media?parent=40987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/categories?post=40987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/tags?post=40987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}