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
20 Likes
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.
Answered By
15 Likes
Related Questions
P is a fixed point and a point Q moves such that the distance PQ is constant. What is the locus of the path traced out by the point Q?
A, B are fixed points. State the locus of P so that ∠APB = 60°.
A point P moves so that its perpendicular distances from two given lines AB and CD are equal. State the locus of point P.
AB is a fixed line. State the locus of point P so that ∠APB = 90°.