Mathematics
A point P moves so that its perpendicular distances from two given lines AB and CD are equal. State the locus of point P.
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.
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