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T is a parallelopiped in which A, B, C and D are vertices of one face. And the face just above it has corresponding vertices A', B', C', D'. T is now compressed to S with face ABCD remaining same and A', B', C', D' shifted to A?, B?, C?, D? in S. The volume of parallelopiped S is reduced to 90% of T. Prove that locus of A? is a plane.

T is a parallelopiped in which A, B, C and D are vertices of one face. And the face just above it has corresponding vertices A', B', C', D'. T is now compressed to S with face ABCD remaining same and A', B', C', D' shifted to A?, B?, C?, D? in S. The volume of parallelopiped S is reduced to 90% of T. Prove that locus of A? is a plane.

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
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