Mathematics
A point P moves so that its perpendicular distances from two given lines AB and CD are equal. State the locus of the point P.
Locus
31 Likes
Answer
There can be two cases :
(i) When two lines AB and CD are parallel
In this case the locus of the point P which is equidistant from AB and CD is a line in the midway of AB and CD and parallel to them.
(ii) When AB and CD are intersecting lines,
In this case the locus of the point P will be a pair of straight lines l and m which bisect the angles between the given lines AB and CD.
Answered By
17 Likes
Related Questions
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 travelled by P?
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?
AB is a fixed line. State the locus of point P so that ∠APB = 90°.
A, B are fixed points. State the locus of P so that ∠APB = 60°.