{"id":31492,"date":"2026-05-11T16:37:10","date_gmt":"2026-05-11T11:07:10","guid":{"rendered":"https:\/\/mycbseguide.com\/blog\/?p=31492"},"modified":"2026-05-11T16:38:08","modified_gmt":"2026-05-11T11:08:08","slug":"the-use-of-coordinates-ncert-solutions-class-9-ganita-manjari","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/the-use-of-coordinates-ncert-solutions-class-9-ganita-manjari\/","title":{"rendered":"The Use of Coordinates – NCERT Solutions Class 9 Ganita Manjari"},"content":{"rendered":"\n

The Use of Coordinates – NCERT Solutions Class 9 Maths Ganita Manjari includes all the questions with solutions given in NCERT Class 9 Ganita Manjari<\/a> textbook.<\/p>\n\n\n\n

NCERT Solutions Class 9<\/h2>\n\n\nEnglish Kaveri<\/a>\n\n\nHindi Ganga<\/a>\n\n\nSanskrit Sharada<\/a>\n\n\nMaths Ganita Manjari<\/a>\n\n\nScience Exploration<\/a>\n\n\nSocial Understanding Society<\/a>\n\n\n\n

The Use of Coordinates \u2013 NCERT Solutions<\/h2>\n\n\n\n
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Q.1:<\/p>\n\n\n\n

Figure shows Reiaan\u2019s room with points OABC marking its corners. The x- and y-axes are marked in the figure. Point O is the origin.<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n
    \n
  1. If {tex}D_1 R_1{\/tex} represents the door to Reiaan’s room, how far is the door from the left wall (the y-axis) of the room? How far is the door from the x -axis? (1)<\/strong><\/li>\n\n\n\n
  2. What are the coordinates of {tex}D_1{\/tex}? (1)<\/strong><\/li>\n\n\n\n
  3. If {tex}R_1{\/tex} is the point {tex}(11.5,0){\/tex}, how wide is the door? Do you think this is a comfortable width for the room door? If a person in a wheelchair wants to enter the room, will he\/she be able to do so easily?\u00a0 (2)<\/strong>
    OR<\/strong>
    If {tex}{B}_1(0,1.5){\/tex} and {tex}{B}_2(0,4){\/tex} represent the ends of the bathroom door, is the bathroom door narrower or wider than the room door?\u00a0 (2)<\/strong><\/li>\n<\/ol>\n\n\n\n

    Solution:<\/p>\n\n\n\n

      \n
    1. The room door lies on the {tex}x{\/tex}-axis, so its distance from the {tex}x{\/tex}-axis {tex}=0{\/tex} units.
      From the figure, {tex} {D}_1=(8,0) \\text { and } {R}_1=(11.5,0) \\text {. }{\/tex} So the door begins 8 units from the {tex}y{\/tex}-axis.<\/li>\n\n\n\n
    2. The coordinates of {tex}{D}_1{\/tex} are {tex}(8,0){\/tex}.<\/li>\n\n\n\n
    3. Coordinates of {tex}{D}_1=(8,0){\/tex} and {tex}{R}_1=(11.5,0){\/tex}. So, the width of the door
      {tex}={\/tex} distance between {tex}{D}_1{\/tex} and {tex}{R}_1{\/tex} {tex} \\text { = } 11.5-8{\/tex} {tex}=3.5{\/tex} units If the unit represents feet, then {tex}3.5 {ft} \\approx 42{\/tex} inches, which is quite comfortable for a room door. Standard residential doors are usually 30-36 inches wide, so this is actually slightly wider than average, which is good. For wheelchair accessibility:<\/strong> A wheelchair typically needs at least 32 inches {tex}(\\sim 2.7 {ft}){\/tex} clear width. Since {tex}3.5 {ft}>2.7 {ft}{\/tex}, the door is wide enough. So, we can say yes, this door width is comfortable and a person using a wheelchair should be able to enter easily without difficulty.
      OR<\/strong> Coordinates of {tex}{B}_1=(0,1.5){\/tex} and {tex}{B}_2=(0,4){\/tex}. So, the width of the bathroom door
      {tex}={\/tex} distance between {tex}{B}_1{\/tex} and {tex}{B}_2{\/tex}
      {tex}=4-1.5=2.5{\/tex} units
      Since {tex}2.5<3.5{\/tex}, the bathroom door is narrower than the room door.<\/li>\n<\/ol>\n\n\n\n
      \n\n\n\n

      Q.2:<\/p>\n\n\n\n

      On a graph sheet, mark the x -axis and y -axis and the origin O. Mark points from {tex}(-7,0){\/tex} to {tex}(13,0){\/tex} on the {tex}x{\/tex}-axis and from {tex}(0,-15){\/tex} to {tex}(0,12){\/tex} on the y-axis. (Use the scale {tex}1 {~cm}=1{\/tex} unit.) Using Figure, answer the given question-<\/p>\n\n\n\n

      \"\"\/<\/figure>\n\n\n\n

      Place Reiaan’s rectangular study table with three of its feet at the points {tex}(8,9),(11,9){\/tex} and {tex}(11,7){\/tex}.<\/p>\n\n\n\n

        \n
      1. Where will the fourth foot of the table be?<\/li>\n\n\n\n
      2. Is this a good spot for the table?<\/li>\n\n\n\n
      3. What is the width of the table? The length? Can you make out the height of the table?<\/li>\n<\/ol>\n\n\n\n

        Solution:<\/p>\n\n\n\n

        \"\"\/<\/figure>\n\n\n\n
          \n
        1. The given three points form three corners of a rectangle: {tex}A=(8,9){\/tex}
          {tex}B=(11,9){\/tex}
          {tex}C=(11,7){\/tex} To complete the rectangle, the fourth point must have:\n