Find the locus of a point P such that PA.PB=constant where A,B are two fixed points.
PA2PB2=const.
if A is (a, 0), B is (-a, 0) and P is (x, y)
(x-a)2+y2+(x+a)2+y2=const., which is the locus. Just simplify.
PA2PB2=const.
if A is (a, 0), B is (-a, 0) and P is (x, y)
(x-a)2+y2+(x+a)2+y2=const., which is the locus. Just simplify.