Question

find out the equation of the locus of a point p(x,y) which moves in such a way that the perpendicular drawn from it meets the axis at (a,o) and (o,a) respectively

Answer 1

Answer:

A line is straight if it has a constant gradient, i.e. if the gradients between any two points on the line are equal. ... If the gradients between any two points on the locus are equal, then the locus is a straight line. If the locus is a straight line, then the gradients between any two points on the locus are equal.