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A rectangle ABCD of dimensions r and 2r is folded along diagonal BD such that planes ABD and CBD are perpendicular to each other. Let the position of the vertex A remains unchanged and C1 is the new position of C.
The distance of C1 from A is equal to
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A rectangle ABCD of dimensions r and 2r is folded along diagonal BD su...
Let the rectangle ABCD initially lies in xy plane with B King at origin BC' along x - axis and BA
Along y-axis.
Equation of BD in xy-plane is y = 2x
So. the coordinates of foot N of C on BD are 
Clearly. CN = C1N
Hence, the coordinates of various points in 3-D are
A(0, r, 0), C(r, 0 , 0) , D (r, 2r, 0), 
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A rectangle ABCD of dimensions r and 2r is folded along diagonal BD such that planes ABD and CBD are perpendicular to each other. Let the position of the vertex A remains unchanged and C1is the new position of C.The distance of C1from A is equal toa)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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