Mathematics
A point moves such that its distance from a fixed line AB is always the same. What is the relation between AB and the path traveled by P?
Locus
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Answer
Let point P move in such a way that it is at a fixed distance from the fixed line AB.
∴ It is a set of two lines parallel to AB, drawn on either side of it at equal distance from it as shown in the figure below.
Hence, the path consists of a pair of straight lines parallel to AB.
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