Question

L is the foot of the perpendicular drawn from a point P (3, 4, 5) on the xy-plane. The coordinates of point L are

A. (3, 0, 0)  B. (0, 4, 5) C. (3, 0, 5) D. none of these

Answer 1

As L lies on xy plane, so its distance from xy plane is zero or we can say that z-coordinate is 0.

∵ L is perpendicular from P(3, 4, 5) to xy plane so its distance from yz and xz plane remains the same as that of point P

∴ Coordinates of L are (3, 4, 0)

∵ None of the option(A,B or C) matches with our answer.

Hence, Option(D) is the most suitable choice.