Question

Given the points A(5,-3) and B(-1,-5), the locus equation of point P such that segment AB subtends a right angle at P is ---------.

Answer 1

product of slopes of pA and PB is -1 let p(x,y)

slope of PA =y+3/x-5

slope of PB=y+5/x+1

(y+3)(y+5)/(x-5)(x+1)=-1

y2+8y+15=-(x2-4x-5)

slove it from now