Q34 of 50 Page 220

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

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.

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