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 shortest distance between the edge AB and C1D is equal to andhellip;andhellip;. (in units)a)b)2rc)d)rCorrect answer is option 'A'. Can you explain this answer?

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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 shortest distance between the edge AB and C₁D is equal to ……. (in units)

a)
b)
2r
c)
d)
r

Correct answer is option 'A'. Can you explain this answer?

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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 shortest distance between the edge AB and C1D is equal to ……. (in units)a)b)2rc)d)rCorrect answer is option 'A'. Can you explain this answer?

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