Question 1

Question 1How will you describe the position of a table lamp on your study table to another person?

Accepted Answer

Steps :Consider the lamp as a point and table as a plane.Let ABCD be the top view of table and E be the position of lamp.Let AD be y-axis and CD be x-axis.From point E draw EF ⊥ AD and EG ⊥ CD.Measure EF = 25 units (let) and EG = 30 units (let).The distance of the point from the x-axis and y-axis is x and y respectively, so the coordinates of table lamp will be (x, y).E(x, y) = (EF, EG) = (25, 30).Hence, position of lamp on table can be described by coordinates (25, 30).

Coordinate Geometry - Interactive Study Notes | Bright Tutorials

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BRIGHT TUTORIALS

BRIGHT TUTORIALSCBSE Class IX | Academic Year 2026-2027
    
    9403781999Excellence in Education
  
  Mathematics | Coordinate GeometryWeb Content &bull; Interactive Notes
  
    Coordinate Geometry &mdash; Interactive Study Guide
    
      The Cartesian Plane
      The Cartesian plane has two perpendicular axes creating 4 quadrants. Every point has a unique address: (x, y).
      Remember: x comes first (horizontal), y comes second (vertical). (x, y) &ne; (y, x)!

Quick Self-Check
      
        (&minus;5, 3) lies in which quadrant? (QII)
        (0, &minus;7) lies on which axis? (y-axis)
        What is the abscissa of (4, &minus;9)? (4)
        A point has ordinate 0 and abscissa &minus;3. Its coordinates are? (&minus;3, 0)

Bright Tutorials | Hariom Nagar, Nashik Road | 9403781999 | brighttutorials.in

Question 2

Question 2(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1 cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:(i) How many cross-streets can be referred to as (4, 3).(ii) How many cross-streets can be referred to as (3, 4).

Accepted Answer

Steps of construction :Consider NS as y-axis and EW as x-axis.Draw 5 streets parallel to both the axis.Suppose x no. street parallel to y-axis crosses y no. street parallel to x-axis, so the cross street will be referred as (x, y).Mark the points (4, 3) and (3, 4).Both the cross-streets are marked in the figure above. They are uniquely found because of the two reference lines we have used for locating them.(i) From figure,Only one street can be referred as (4, 3).(ii) From figure,Only one street can be referred as (3, 4).

Coordinate Geometry - Interactive Study Notes | Bright Tutorials

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    .web-topic h3 { color: var(--bt-primary); margin-top: 0; }
    .key-point { background: #eaf2f8; padding: 10px 15px; border-left: 4px solid var(--bt-primary); margin: 10px 0; border-radius: 4px; }
    .quick-quiz { background: #fff8e1; padding: 15px; border-radius: 8px; border: 2px solid #f39c12; margin: 15px 0; }
    .quick-quiz h4 { color: #e67e22; margin-top: 0; }

BRIGHT TUTORIALS

BRIGHT TUTORIALSCBSE Class IX | Academic Year 2026-2027
    
    9403781999Excellence in Education
  
  Mathematics | Coordinate GeometryWeb Content &bull; Interactive Notes
  
    Coordinate Geometry &mdash; Interactive Study Guide
    
      The Cartesian Plane
      The Cartesian plane has two perpendicular axes creating 4 quadrants. Every point has a unique address: (x, y).
      Remember: x comes first (horizontal), y comes second (vertical). (x, y) &ne; (y, x)!

Quick Self-Check
      
        (&minus;5, 3) lies in which quadrant? (QII)
        (0, &minus;7) lies on which axis? (y-axis)
        What is the abscissa of (4, &minus;9)? (4)
        A point has ordinate 0 and abscissa &minus;3. Its coordinates are? (&minus;3, 0)

Bright Tutorials | Hariom Nagar, Nashik Road | 9403781999 | brighttutorials.in