An architect is designing a garden where a fountain must be placed exactly 4 metres from a straight wall. Which locus represents all possible positions for the fountain?

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Question

An architect is designing a garden where a fountain must be placed exactly 4 metres from a straight wall. Which locus represents all possible positions for the fountain?

Accepted Answer

A straight line parallel to the wall, 4 m away from it — Award 1 mark for identifying a line parallel to the wall at a fixed distance. A is incorrect — there are infinitely many points, not just one. B is incorrect — a circle represents equidistance from a point, not a line. D is incorrect — the perpendicular bisector is not relevant to distance from a line.

Answer

A straight line parallel to the wall, 4 m away from it

Answer

A circle of radius 4 m

Answer

The perpendicular bisector of the wall

Answer

A single point 4 m from the wall

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