3D Geometry 3 Question 50
50. Consider a pyramid located in the first octant with as origin, and and along the -axis and the -axis, respectively. The base of the pyramid is a square with . The point is directly above the mid-point of diagonal such that . Then,
(2016 Adv.)
(a) the acute angle between
(b) the equation of the plane containing the
(c) the length of the perpendicular from
(d) the perpendicular distance from
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Answer:
Correct Answer: 50. (a)
Solution:
- Given, square base
Also, mid-point of
Since,
Here, DR’s of
Now, equation of the plane containing the
Now, length of the perpendicular from
Here, equation of
To find the distance from
Let