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

If A and B are the points (3, 4, 5) and (-1, 3,-7) respectively then theset of points Psuch that PA ^(2) + PB ^(2) = K ^(2), where K is a constant lie on a proper sphere if:

A and A’ be the points (5, 0) and (-5, 0) respectively. Find the equation of the set of all points P(x, y) such that | AP |-1 A’P | = 6.

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

Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) respectively. Find the coordinates of any point P , if PA = PB and area of PAB = 10 sq. units.

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3, 2, -1).

Find the value of k if the points A(2, 3), B(4, k) and C(6, -3) are collinear.