`A(2,4)`and `B(5,8)`,find the equation of the locus of point P such that `PA^2-PB^2=13`

If A-=(-3,2) and B-=(1,-4) ,find the equation of locus of point P such that 3PA=2PB

If A(1,3) and B(2,1) are points,find the equation of the locus of point P such that PA=PB

If A(4,1) and B(5,4) ,find the equation of the locus of point P if PA^2=3PB^2 .

A(1,6) and B(3,5) ,find the equation of the locus of point P such that segment AB subtends right angle at P. (angle APB=90^@) .

If A(2,0) and B(0,3) are two points,find the equation of the locus of point P such thatt AP=2BP .

A-=(3,1) and B-=(4,-5) are given points.Find the equation of the locus of point P such tha AP^2+BP^2=50