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Asked for the ordinate of (−9, 2), a student answered −9. What is the correct answer, and what did the student do?

Class 9Coordinate GeometryCoordinate Geometry
  • A2 — the student gave the abscissa instead of the ordinate.
  • B−9 — the student is correct.
  • C9 — the student forgot to drop the minus sign.
  • D−2 — the student copied the wrong sign.

Step-by-Step Solution

In the ordinate is the second coordinate, so the ordinate of (−9, 2) is 2. The value −9 is the abscissa, the first coordinate.
Answer: A) 2 — the student gave the abscissa instead of the ordinate.

Key idea: Reading coordinates

Given a point on a graph:
1. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
2. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
3. Combine: .

Reverse if you're given coordinates: read first (horizontal direction), then (vertical direction). Don't swap their roles.

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