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A point in quadrant IV is 5 units from the -axis and 2 units from the -axis. What are its coordinates?

Class 9Coordinate GeometryCoordinate Geometry
  • A(−2, 5)
  • B(2, −5)
  • C(5, −2)
  • D(−5, 2)

Step-by-Step Solution

Distance from the -axis is the size of the abscissa, so the abscissa is 2 in size; distance from the -axis is the size of the ordinate, so the ordinate is 5 in size. In quadrant IV the abscissa is positive and the ordinate is negative, giving (2, −5).
Answer: B) (2, −5)

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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