A city park is represented on a coordinate grid where unit equals metres

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A city park is represented on a coordinate grid where

1

unit equals

10

metres. The entrance gate is chosen as the origin

O(0,0)

. Three landmarks are described below. Entrance plaza

E

4

units east of

O

and

3

units north of

O

. Drinking water point

W

2

units west of

E

and

5

units south of

E

. Flower bed

F

6

units east of

W

and

1

unit north of

W

. Answer the following. (i) Write the coordinates of the points

E,\,W

and

F

. (ii) Plot

O,\,E,\,W

and

F

on a suitably scaled Cartesian plane and label them clearly. (iii) State which of the points, if any, lie on an axis and justify your answer using their coordinates. (iv) Determine the quadrant in which the flower bed

F

is located.

Related theory

Cartesian Coordinate System
Coordinate Geometry
Cartesian system
Plotting points on the Cartesian plane

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