3D Geometry 3 Question 56

56. The distance of the point (1,1,1) from the plane passing through the point (1,2,1) and whose normal is perpendicular to both the lines L1 and L2, is

(a) 2/75 unit

(b) 7/75 unit

(c) 13/75 units

(d) 23/75 units

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Answer:

Correct Answer: 56. (8)

Solution:

  1. The equation of the plane passing through the point (1,2,1) and whose normal is perpendicular to both the given lines L1 and L2 may be written as

(x+1)+7(y+2)5(z+1)=0x+7y5z+10=0

The distance of the point (1,1,1) from the plane

=|1+75+101+49+25|=1375 units 



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