Question
If A and B be the points (3, 4, 5) and (-1, 3, - 7) respectively, find the equation of set of points P such that PA2 + PB2 = 2k2. where k is a constant.
Solution
Let one of the points be P(x, y, z)
A (3, 4 5) and B (-1, 3, -7) be two given points
The given condition is: ...(i)
Using distance formula, we have
∴ From (i), we have
Hence, the equation of set of points P is