CLASS 9 MATHS · COORDINATE GEOMETRY

Locate a point in the Cartesian plane

Quadrant I (+, +), II (−, +), III (−, −), IV (+, −). A point with a zero coordinate lies on an axis.

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Worked examples

Example 1 · level 1

Where does the point (7, −1) lie?

Quadrant IV
Quadrant II
On the y-axis
Quadrant III

Show solution

x = 7, y = −1.
So the point lies: Quadrant IV.

Answer: Quadrant IV

Example 2 · level 2

Where does the point (8, −4) lie?

Quadrant II
On the x-axis
Quadrant III
Quadrant IV

Show solution

x = 8, y = −4.
So the point lies: Quadrant IV.

Answer: Quadrant IV

Example 3 · level 3

A point has abscissa −3 and ordinate −1. Where does it lie?

Quadrant II
On the y-axis
Quadrant III
Quadrant I

Show solution

x = −3, y = −1.
So the point lies: Quadrant III.

Answer: Quadrant III