Introduction to 3DHard
Question
A line with positive direction cosines passes through the point P(2, - 1, 2) and makes equal angles with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals
Options
A.1
B.√2
C.√3
D.2
Solution
D.C of the line are 
Any point on the line at a distance t from P(2, - 1, 2) is
which lies on 2x + y + z = 9 ⇒ t = √3.
Any point on the line at a distance t from P(2, - 1, 2) is
which lies on 2x + y + z = 9 ⇒ t = √3.
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