Q. 235.0( 3 Votes )
What is the length of foot of perpendicular drawn from the point P (3, 4, 5) on y-axis
A. 
B. 
C. 5
D. none of these
Answer :
As y-axis lies on xy plane and yz.
So, its distance from xy and yz plane is 0.
∴ By basic definition of 3-D coordinate we can say that x-coordinate and z–coordinate are 0.
As, perpendicular is drawn from point P to y-axis, so distance of point of intersection of this line from xz plane remains the same.
∴ y-coordinate of the new point say Q = 4
Or we can say that corresponding point on y-axis is (0, 4, 0)
∴ Length of perpendicular = distance between P and Q
From distance formula-
PQ = 
∴ Length of foot of perpendicular drawn from the point P (3, 4, 5) on y-axis is √34 units.
Hence, option(B) is the only correct choice.
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