6.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 , where k is a constant.
A (3, 4, 5) and B (–1, 3, –7),
Let the coordinates of point P be (x,y,z)
Given condition :
Now, Given Condition
Hence Equation of the set of the point P is