3D Geometry 3 Question 43

43. If the distance of the point P(1,2,1) from the plane x+2y2z=α, where α>0, is 5 , then the foot of the perpendicular form P to the plane is

(2010)

(a) 83,43,73

(b) 43,43,13

(c) 13,23,103

(d) 23,13,52

Show Answer

Answer:

Correct Answer: 43. (a)

Solution:

  1. Distance of point P from plane =5

5=|142α3|α=10

Foot of perpendicular

x11=y+22=z12=53x=83,y=43,z=73

Thus, the foot of the perpendicular is A83,43,73.



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