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CBSE Class 9 Mathematics Question 1 of 2

Coordinate Geometry — Question 1

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Question 1

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

Answer

Steps :

  1. Consider the lamp as a point and table as a plane.

  2. Let ABCD be the top view of table and E be the position of lamp.

  3. Let AD be y-axis and CD be x-axis.

  4. From point E draw EF ⊥ AD and EG ⊥ CD.

  5. Measure EF = 25 units (let) and EG = 30 units (let).

How will you describe the position of a table lamp on your study table to another person? NCERT Class 9 Mathematics CBSE Solutions.

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).

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Coordinate Geometry — 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) ≠ (y, x)!

Quadrant Signs

QI: (+,+) | QII: (−,+) | QIII: (−,−) | QIV: (+,−)

x-axis points: (a, 0) | y-axis points: (0, b) | Origin: (0, 0)

Quick Self-Check

  1. (−5, 3) lies in which quadrant? (QII)
  2. (0, −7) lies on which axis? (y-axis)
  3. What is the abscissa of (4, −9)? (4)
  4. A point has ordinate 0 and abscissa −3. Its coordinates are? (−3, 0)

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