3D Geometry 3 Question 65
65. is a parallelopiped in which and are vertices of one face and the face just above it has corresponding vertices is now compressed to with face remaining same and shifted to in . The volume of parallelopiped is reduced to of . Prove that locus of is a plane.
Show Answer
Answer:
Correct Answer: 65.
Solution:
- Let the equation of the plane
be , the point be and the height of the parallelopiped be .
Hence, locus of