3D Geometry 3 Question 42
42. The point is the intersection of the straight line joining the points and with the plane . If is the foot of the perpendicular drawn from the point to , then the length of the line segment is
(2012)
(a)
(b)
(c) 2
(d)
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Answer:
Correct Answer: 42. (a)
Solution:
- PLAN It is based on two concepts one is intersection of straight line and plane and other is the foot of perpendicular from a point to the straight line.
Description of Situation
(i) If the straight line
intersects the plane
Then,
(ii) If
Then, (DR’s of
Equation of straight line
Again, we can assume
and DR’s of
Since, perpendicular