Six points A to F are plotted on the Cartesian plane. How many of them lie on the $y$ -axis?

Class 9Coordinate GeometryCoordinate Geometry

Step-by-Step Solution

A point is on the

y

-axis when its abscissa is

0

. Only A

(0, 3)

and C

(0, - 2)

have

x = 0

; B and D are on the

x

-axis.

Answer: C) 2

Two perpendicular axes — horizontal

(x

-axis) and vertical

(y

-axis) — meet at the **origin** (0, 0). Together they divide the plane into four **quadrants**:

- **I**:

x > 0, y

> 0 (top right)
- **II**:

x < 0, y

> 0 (top left)
- **III**:

x < 0, y

< 0 (bottom left)
- **IV**:

x > 0, y

< 0 (bottom right)

Points ON the axes don't belong to any quadrant. (a, 0) sits on the

x

-axis; (0, b) sits on the

y

-axis.

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