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On a map grid a school is at (3, 6) and a library is at (3, 1), where 1 unit stands for 1 km. How far is the library from the school?

Class 9Coordinate GeometryCoordinate Geometry
  • A9 km
  • B3 km
  • C7 km
  • D5 km

Step-by-Step Solution

Both places have abscissa 3, so the line joining them is vertical and its length is the difference of the ordinates: 6 − 1 = 5, which is 5 km.
Answer: D) 5 km

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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