L is the foot of the perpendicular drawn from a point (3, 4, 5) on x-a

1.	L is the foot of the perpendicular drawn from a point (3, 4, 5) on x-axis. The coordinates of L are A. (3, 0, 0) B. (0, 4, 0) C. (0, 0, 5) D. none of these
Answer» As x-axis lies on xy plane and xz. So its distance from xy and xz plane is 0. ∴ By basic definition of 3-D coordinate we can say that y-coordinate and z–coordinate are 0. As, perpendicular is drawn from point P(3, 4, 5) to x-axis , so distance of point of intersection of this line from yz plane remains the same. ∴ x-coordinate of the new point(L) = 3 Or we can say that coordinates of L are (3, 0, 0) Hence, option(A) is the only correct choice.

L is the foot of the perpendicular drawn from a point (3, 4, 5) on x-axis. The coordinates of L are A. (3, 0, 0) B. (0, 4, 0) C. (0, 0, 5) D. none of these

Answer»

As x-axis lies on xy plane and xz.

So its distance from xy and xz plane is 0.

∴ By basic definition of 3-D coordinate we can say that y-coordinate and z–coordinate are 0.

As, perpendicular is drawn from point P(3, 4, 5) to x-axis , so distance of point of intersection of this line from yz plane remains the same.

∴ x-coordinate of the new point(L) = 3

Or we can say that coordinates of L are (3, 0, 0)

Hence, option(A) is the only correct choice.