If A and B be the points `(3,4,5) and (-1,3,-7)` respectively find the equation of set of ponts P such that `PA^2+PB^2=k^2, where k` is a constant.

If A and B be the points (3," "4," "5) and (1," "3," "7) , respectively, find the equation of the set of points P such that P A^2+P B^2=k^2 , where k is a constant.

Find the equation of set of points P such that PA^(2)+PB^(2)=2k^(2) where A and B are the points and ,respectively.

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

Find the equation of the set of points P such that PA^(2)+PB^(2)=2k^(2) where A,B are the points (3,4,5) (-1,3,-7) respectively

A point P(x,y,z) is such that 3PA=2PB where AandB are the point (1,3,4) and (1,-2,-1), irrespectivley. Find the equation to the locus of the point P and verify that the locus is a sphere.

Find the equation of the locus of a point P such that PA^(2)+PB^(2)=2c^(2) where A=(a,0) , B=(-a,0) and 0<|a|<|c|

If A(3,4,1) and B(-1,2,3) are two points, then find the locus of a moving point P such that PA^(2)+PB^(2)=2k^(2) .

A(2,3),B(2,-3) are two points.The equation to the locus of P. such that PA+PB=8

The coordinates of the point A and B are (a,0) and (-a,0), respectively.If a point P moves so that PA^(2)-PB^(2)=2k^(2), when k is constant,then find the equation to the locus of the point P.

If A -= (0,0) and B -= (4,-3) then the locus of the moving point P such that 2 PA = 3PB is