Find the locus of point P if `AP^2-BP^2=18` where `A-=(1,2,-3) and B-=(3,-2,1).`

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

Find the locus of P\ if\ P A^2+P B^2=2k^2w h e r e\ A\ a n d\ B are points (3,4,5) and (-1,3,7).

Describe the locus of a point P, so that : AB^(2)=AP^(2)+BP^(2) , where A and B are two fixed points.

Find the locus of a point P If the join of the points (2,3) and (-1,5) subtends a right angle at P.

Find the locus of the point which is equidistant from the points A(0,2,3) and B(2,-2,1)dot

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

Find the equation to the locus of a point equidistant from the points A(1,3)a n dB(-2,1)dot

Find the locus of the points which are equidistant from the points (1,2,3) and (3,2,11).

A moving point 'P' moves such that AP^(2)+BP^(2)=10 where the co-ordinates of the points A and B are respectively (2,3,-4) and (0,0,1).

Find the locus of the point which is equidistant from the points A(0,2,3)a n d\ B(2,-2,1)dot