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A student writes the coordinates of a point as instead of . This is incorrect because:

Class 9Coordinate GeometryCoordinate Geometry
  • ACoordinates are an ordered pair; the -coordinate must be written first.
  • BCoordinates can be written in any order.
  • CThe -coordinate is always larger.
  • DOnly positive coordinates count.

Step-by-Step Solution

In an ordered pair , the abscissa is written first and the ordinate second. Swapping them generally names a different point.
Answer: A) Coordinates are an ordered pair; the -coordinate must be written first.

Key idea: Plotting a point

To plot :
1. Start at the origin.
2. Move units along the -axis (right if positive, left if negative).
3. Move units along the -axis (up if positive, down if negative).
4. Mark the point.

Example: (3, −2). From origin, 3 right, 2 down. Lands in quadrant IV.

**Coordinates are ordered**: (3, 2) and (2, 3) are different points.

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