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A fire station stands at F(1, 2) on a city grid marked in kilometres. Four buildings are at P(4, 6), Q(-2, 4), R(7, 3) and S(1, -6).
Which building is FARTHEST from the fire station?

Class 10Distance FormulaGeometry — Coordinates
  • AS(1, -6)
  • BR(7, 3)
  • CP(4, 6)
  • DQ(-2, 4)

Step-by-Step Solution

and FS = || = 8. The largest of these is FS, so S is farthest at 8 km. only looks farthest if you compare -coordinates alone and forget that S is a long way below the station.
Answer: A) S(1, -6)

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