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A cable must run from a router R(2, -1) to one of two switches, S1(-3, 11) or S2(10, 5); the grid is in metres. The technician picks the nearer switch.
How many metres of cable does that choice save?

Class 10Distance FormulaGeometry — Coordinates
  • A10 m
  • B13 m
  • C3 m
  • D23 m

Step-by-Step Solution

m and m. 2 is nearer, so the saving is 13 - 10 = 3 m. The 10 m option is the cable actually laid rather than the saving, and 23 m adds the two runs as though both cables were needed.
Answer: C) 3 m

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