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If a parallelopiped is formed by planes ...

If a parallelopiped is formed by planes drawn through the points `( 5,8,10)` and `(3,6,8)` parallel to the coordinate planes, then the length of diagonal of the parallelopiped is

A

`2sqrt3`

B

`3sqrt2`

C

`sqrt2`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Given points of the parallelopiped are A ( 5,8,10) and B (3,6,8)
`AB=sqrt((5-3)^2+(6-8)^(2)+(10 =8^(2))`
`sqrt(4+4+4) = 2sqrt3`
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