Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
denote the three-dimensional space. Take two points 
and 
. Let 
denote the distance between two points 
and in
. Let 
and
.
Then which of the following statements is (are) TRUE?
A
There is a triangle whose area is 1 and all of whose vertices are from 
.
.
B
There are two distinct points 
and ![]()
in 
such that each point on the line segment ![]()
is also in 
.
and such that each point on the line segment .
C
There are infinitely many rectangles of perimeter 48 , two of whose vertices are from 
and the other two vertices are from 
.
and the other two vertices are from .
D
There is a square of perimeter 48 , two of whose vertices are from 
and the other two vertices are from 
.
and the other two vertices are from .
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c)
Similarly 
represents a plane. So it will contain a triangle of area 1 . So is correct.
represents a plane. So 
is correct.
are two parallel planes at a distance of 10 units from each other.
is correct and 
is incorrect.
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