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Points (1, 5), (3, 5) and (−2, 5) all have ordinate 5. They lie on a line that is:

Class 9Coordinate GeometryCoordinate Geometry
  • AHorizontal, parallel to the -axis
  • BVertical, parallel to the -axis
  • CPassing through the origin
  • DThe -axis

Step-by-Step Solution

Points with the same -coordinate lie on a horizontal line parallel to the -axis.
Answer: A) Horizontal, parallel to the -axis

Key idea: The Cartesian plane

Two perpendicular axes — horizontal -axis) and vertical -axis) — meet at the **origin** (0, 0). Together they divide the plane into four **quadrants**:

- **I**: > 0 (top right)
- **II**: > 0 (top left)
- **III**: < 0 (bottom left)
- **IV**: < 0 (bottom right)

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

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