A parallelepiped is formed by planes dra...

A parallelepiped is formed by planes drawn through the points `(2,3,5)a n d(5,9,7)` , parallel to the coordinate planes. The length of a diagonal of the parallelepiped is `7` unit b. `sqrt(38)` unit c. `sqrt(155)` unit d. none of these``

`sqrt(38)`

`sqrt(155)`

none of these

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The correct Answer is:

The lengths of the edges are given by
`a=5-2=3,b=9-3=6` and `c=7-5=2`.
So length of the diagonal `=sqrt(9+36)+4)=7`

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