Four points are plotted on the Cartesian plane. Which point is 3 units to the left of the $y$ -axis and 2 units below the $x$ -axis?

Class 9Coordinate GeometryCoordinate Geometry

Step-by-Step Solution

3 units left of the

y

-axis means

x = - 3

; 2 units below the

x

-axis means

y = - 2

. The point

(- 3, - 2)

is C.

Answer: C) C

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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