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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.

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, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Hence, the path consists of a pair of straight lines parallel to AB.

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