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One vertex of a rectangular parallelopip...

One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x, y and z axes are 3, 4 and 5 units respectively. Let P be the vertex (3, 4, 5). Then the shortest distance between the diagonal OP and an edge parallel to z axis, not passing through O or P is

A

`(12)/(sqrt5)`

B

`12sqrt5`

C

`(12)/(5sqrt5)`

D

`(12)/(5)`

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The correct Answer is:
D
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