{"id":1801,"date":"2026-05-20T08:21:26","date_gmt":"2026-05-20T08:21:26","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1801"},"modified":"2026-05-20T08:50:27","modified_gmt":"2026-05-20T08:50:27","slug":"class-9-maths-exercise-1-2-solutions-coordinate-geometry-ncert-solutions","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/class-9-maths-exercise-1-2-solutions-coordinate-geometry-ncert-solutions\/","title":{"rendered":"Class 9 Maths Exercise 1.2 Solutions | Coordinate Geometry NCERT Solutions"},"content":{"rendered":"\n
\n\n\n\n

Short Intro<\/h1>\n\n\n\n

In this post, students can find complete step-by-step solutions for Class 9 Maths Chapter 1 Exercise 1.2 \u2013 Coordinate Geometry. All questions are solved in simple language with proper explanations based on the latest NCERT syllabus to help students understand coordinates, quadrants, plotting points, and practical applications of coordinate geometry easily.<\/p>\n\n\n\n

\n\n\n\n

Quick Information Box<\/h1>\n\n\n\n
Item<\/th>Details<\/th><\/tr><\/thead>
Board<\/td>NCERT \/ CBSE<\/td><\/tr>
Class<\/td>9<\/td><\/tr>
Subject<\/td>Maths<\/td><\/tr>
Chapter<\/td>Coordinate Geometry<\/td><\/tr>
Exercise<\/td>1.2<\/td><\/tr>
Topic<\/td>Cartesian Plane & Coordinates<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n\n\n\n

Concepts Used (Topics Covered)<\/h1>\n\n\n\n
    \n
  • Cartesian Coordinate System<\/li>\n\n\n\n
  • Coordinates of Points<\/li>\n\n\n\n
  • Quadrants<\/li>\n\n\n\n
  • Plotting Points<\/li>\n\n\n\n
  • Rectangular Shapes on Coordinate Plane<\/li>\n\n\n\n
  • Distance Along Axes<\/li>\n\n\n\n
  • Coordinates in Real Life<\/li>\n<\/ul>\n\n\n\n

    The exercise explains how coordinates help locate objects precisely in the Cartesian plane. <\/p>\n\n\n\n

    \n\n\n\n

    Important Formulas<\/h1>\n\n\n\n

    Coordinates of Origin<\/h2>\n\n\n\n
    O = (0, 0)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    Point on x-axis<\/h2>\n\n\n\n
    (x, 0)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    Point on y-axis<\/h2>\n\n\n\n
    (0, y)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    Distance Formula<\/h2>\n\n\n\n
    (<\/mo>x<\/mi>2<\/mn><\/msub>\u2212<\/mo>x<\/mi>1<\/mn><\/msub>)<\/mo>2<\/mn><\/msup>+<\/mo>(<\/mo>y<\/mi>2<\/mn><\/msub>\u2212<\/mo>y<\/mi>1<\/mn><\/msub>)<\/mo>2<\/mn><\/msup><\/mrow><\/msqrt><\/mrow>\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n
    \n\n\n\n
    Questions & Step-by-step Solutions<\/h1>\n\n\n\n
    On a graph sheet, mark the x-axis and y-axis and the origin O. Mark
    points from (\u2013\u200a7, 0) to (13, 0) on the x-axis and from (0, \u2013\u200a15) to (0, 12) on
    the y-axis. (Use the scale 1 cm = 1 unit.) Using Fig. 1.5, answer the given
    questions.<\/p>\n\n\n\n
    \"image\"<\/figure>\n\n\n\n
    Question 1<\/h1>\n\n\n\n
    Place reiaan\u2019s rectangular study table has three feet at points (8, 9), (11, 9), and (11, 7).<\/h2>\n\n\n\n
    (i) Where will the fourth foot of the table be?<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    The table is rectangular.<\/p>\n\n\n\n
    Given points:<\/p>\n\n\n\n
    (8, 9), (11, 9), (11, 7)<\/code><\/pre>\n\n\n\n
    The missing point will be:<\/p>\n\n\n\n
    (8, 7)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    (ii) Is this a good spot for the table?<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    Yes, the table is placed neatly beside the bed and leaves enough walking space.<\/p>\n\n\n\n
    \n\n\n\n
    (iii) What is the width and length of the table?<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    Length:<\/p>\n\n\n\n
    11 \u2212 8 = 3 ft<\/code><\/pre>\n\n\n\n
    Width:<\/p>\n\n\n\n
    9 \u2212 7 = 2 ft<\/code><\/pre>\n\n\n\n
    Therefore:<\/p>\n\n\n\n
    Length = 3 ft
    Width = 2 ft<\/code><\/pre>\n\n\n\n
    The height cannot be determined from a 2-D floor plan.<\/p>\n\n\n\n
    \n\n\n\n
    Question 2<\/h1>\n\n\n\n
    If the bathroom door opens into the bedroom, will it hit the wardrobe?<\/h2>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    No, according to the diagram, the bathroom door will not hit the wardrobe because sufficient space is available between them.<\/p>\n\n\n\n
    If the door is made wider, it should open outward or the wardrobe should be shifted slightly.<\/p>\n\n\n\n
    \n\n\n\n
    Question 3<\/h1>\n\n\n\n
    Look at Reiaan\u2019s bathroom.<\/h2>\n\n\n\n
    (i) What are the coordinates of corners O, F, R and P?<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    From the figure:<\/p>\n\n\n\n
    O = (0, 0)
    F = (0, 10)
    R = (\u22127, 10)
    P = (\u22127, 0)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    (ii) What is the shape of showering area SHWR?<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    The showering area is rectangular.<\/p>\n\n\n\n
    Coordinates:<\/p>\n\n\n\n
    S = (\u22127, 5)
    H = (\u22124, 5)
    W = (\u22124, 10)
    R = (\u22127, 10)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    (iii) Mark 3 ft \u00d7 2 ft washbasin area and 2 ft \u00d7 3 ft toilet area.<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    One possible answer:<\/p>\n\n\n\n
    Washbasin coordinates:<\/p>\n\n\n\n
    (\u22127, 8), (\u22125, 8), (\u22125, 10), (\u22127, 10)<\/code><\/pre>\n\n\n\n
    Toilet coordinates:<\/p>\n\n\n\n
    (\u22127, 0), (\u22125, 0), (\u22125, 3), (\u22127, 3)<\/code><\/pre>\n\n\n\n
    (Answers may vary.)<\/p>\n\n\n\n
    \n\n\n\n
    Question 4<\/h1>\n\n\n\n
    Reiaan\u2019s room door leads to the dining room of length 18 ft and width 15 ft.<\/h2>\n\n\n\n
    (i) Sketch the dining room and mark coordinates.<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    One possible set of coordinates:<\/p>\n\n\n\n
    P = (\u22127, 0)
    A = (12, 0)
    B = (12, 15)
    C = (\u22127, 15)<\/code><\/pre>\n\n\n\n
    \n\n\n\n
    (ii) Place a rectangular 5 ft \u00d7 3 ft dining table at the centre.<\/h3>\n\n\n\n
    Solution<\/h3>\n\n\n\n
    Possible coordinates:<\/p>\n\n\n\n
    (0, 6), (5, 6), (5, 9), (0, 9)<\/code><\/pre>\n\n\n\n
    (Answers may vary.)<\/p>\n\n\n\n
    \n\n\n\n
    Important Observation<\/h1>\n\n\n\n
    Coordinates in Different Quadrants<\/h2>\n\n\n\n
    Quadrant I  \u2192 (+, +)
    Quadrant II \u2192 (\u2212, +)
    Quadrant III \u2192 (\u2212, \u2212)
    Quadrant IV \u2192 (+, \u2212)<\/code><\/pre>\n\n\n\n
    The coordinate plane is divided into four quadrants.<\/p>\n\n\n\n
    \n\n\n\n
    Common Mistakes<\/h1>\n\n\n\n
      \n
    • Writing coordinates in wrong order<\/li>\n\n\n\n
    • Confusing x-axis and y-axis<\/li>\n\n\n\n
    • Forgetting negative signs<\/li>\n\n\n\n
    • Incorrect plotting of points<\/li>\n\n\n\n
    • Confusing length and width<\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n
      Exam Tips<\/h1>\n\n\n\n
        \n
      • Always write coordinates in form (x, y).<\/li>\n\n\n\n
      • Practice plotting points regularly.<\/li>\n\n\n\n
      • Learn quadrant signs carefully.<\/li>\n\n\n\n
      • Use graph paper neatly during exams.<\/li>\n<\/ul>\n\n\n\n
        \n\n\n\n
        Practice MCQs<\/h1>\n\n\n\n
        MCQ 1<\/h2>\n\n\n\n
        Coordinates of origin are:<\/p>\n\n\n\n
        A. (1, 1)
        B. (0, 0)
        C. (0, 1)
        D. (1, 0)<\/p>\n\n\n\n
        Answer:<\/p>\n\n\n\n
        B. (0, 0)<\/code><\/pre>\n\n\n\n
        \n\n\n\n
        MCQ 2<\/h2>\n\n\n\n
        Point (\u22123, 5) lies in:<\/p>\n\n\n\n
        A. Quadrant I
        B. Quadrant II
        C. Quadrant III
        D. Quadrant IV<\/p>\n\n\n\n
        Answer:<\/p>\n\n\n\n
        B. Quadrant II<\/code><\/pre>\n\n\n\n
        \n\n\n\n
        MCQ 3<\/h2>\n\n\n\n
        A point on y-axis has:<\/p>\n\n\n\n
        A. x = 0
        B. y = 0
        C. x = y
        D. None<\/p>\n\n\n\n
        Answer:<\/p>\n\n\n\n
        A. x = 0<\/code><\/pre>\n\n\n\n
        \n\n\n\n
        MCQ 4<\/h2>\n\n\n\n
        Coordinates are always written as:<\/p>\n\n\n\n
        A. (y, x)
        B. (x, y)
        C. x + y
        D. x \u2212 y<\/p>\n\n\n\n
        Answer:<\/p>\n\n\n\n
        B. (x, y)<\/code><\/pre>\n\n\n\n
        \n\n\n\n
        FAQ Section<\/h1>\n\n\n\n
        What is a Cartesian plane?<\/h2>\n\n\n\n
        The plane formed by x-axis and y-axis is called the Cartesian plane.<\/p>\n\n\n\n
        \n\n\n\n
        How many quadrants are there?<\/h2>\n\n\n\n
        There are four quadrants in the coordinate plane.<\/p>\n\n\n\n
        \n\n\n\n
        What are coordinates of origin?<\/h2>\n\n\n\n
        (0, 0)<\/code><\/pre>\n\n\n\n
        \n\n\n\n
        Why is Exercise 1.2 important?<\/h2>\n\n\n\n
        It helps students understand plotting points and coordinate geometry used in higher mathematics.<\/p>\n\n\n\n
        \n\n\n\n
        CTA (Call To Action)<\/h1>\n\n\n\n
        \ud83d\udcd8 Improve Your Maths Preparation with MyMockMate!<\/p>\n\n\n\n
        \u2705 Practice Chapter-wise Mock Tests
        \u2705 Solve Important MCQs
        \u2705 Download Notes PDF
        \u2705 Get Instant Performance Analysis
        \u2705 Prepare Smarter for Board Exams<\/p>\n\n\n\n
        Start learning now on MyMockMate.<\/p>\n\n\n\n
        \n\n\n\n
        Source<\/h1>\n\n\n\n
        Class 9 Maths Chapter 1 \u2013 Coordinate Geometry Exercise 1.2 
        \n\n\t\t\n        
          \n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"
          Short Intro In this post, students can find complete step-by-step solutions for Class 9 Maths Chapter 1 Exercise<\/p>\n","protected":false},"author":1,"featured_media":1803,"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":[4,11,127],"tags":[153,141,139,151,136,162,137,140,161,160,144,158,154,157,156,46,89,62,159,47,147,149,155,142],"class_list":["post-1801","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-9","category-maths-class-9","category-orienting-yourself-the-use-of-coordinates","tag-cartesian-coordinate-system","tag-cartesian-plane","tag-cbse-class-9-maths","tag-class-9-coordinate-geometry-solutions","tag-class-9-maths","tag-class-9-maths-notes","tag-coordinate-geometry","tag-coordinate-geometry-chapter-1","tag-coordinate-geometry-mcqs","tag-coordinate-geometry-notes","tag-coordinate-geometry-questions-answers","tag-coordinate-plane-questions","tag-coordinates-of-points","tag-distance-formula","tag-exercise-1-2-ncert-solutions","tag-exercise-1-2-solutions","tag-maths-board-exam-preparation","tag-maths-chapter-1-solutions","tag-ncert-maths-notes","tag-ncert-solutions","tag-origin-in-coordinate-geometry","tag-plotting-points","tag-quadrants","tag-x-axis-and-y-axis"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1801","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=1801"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1801\/revisions"}],"predecessor-version":[{"id":1804,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1801\/revisions\/1804"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1803"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}