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

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(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 .

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(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^@) .