Question

Find the coordinates of a point on y-axis which are at a distance of 5√2 from the point P (3, –2, 5).

Answer 1

Let A (0, b, 0) be the point on the y-axis at a distance of 5√2 from point P (3, –2, 5).
Accordingly, AP = 5√2

Thus, the coordinates of the required points are (0, 2, 0) and (0, –6, 0).