Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Base of a pyramid is rectangular, three of its vertices are A(2, 2, –1), B(3, 1, 2) and C(1,1,1) forth vertex is D. Its vertex at the top is P 
then
(i) Co-ordinates of foot of perpendicular drawn from P upon the base of pyramid are ( λ , m, n) then
Correct Answers for Comprehension Sub-Questions
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Ans.
(i)
Sol. Equation of base ABCD is x – 5y – 2z + 6 = 0
Foot of perpendicular from P is
⇒ point is 
(ii)
Sol. Distance (height) = 
(iii)
Sol. Volume = 
area of base × height
= 
× height = 20 cubic units
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The direction cosines of a line segment are If and the co-ordinates of A are (3, –6, 10), then …
If centroid of the tetrahedron , where are given by ( a , 2, 3),(1, b , 2) and (2, 1, c ) respect…
If , then projection of on the plane is
The points and are
The angle between two diagonals of a cube will be
The equations of the line passing through the point (1,2,–4) and perpendicular to the two lines an…