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If the distance between the points (a,0,...

If the distance between the points `(a,0,1)` and `(0,1,2)` is `sqrt27` then the value of a is

A

`5`

B

`+-5`

C

`-5`

D

`"none of these"`

Text Solution

Verified by Experts

The correct Answer is:
B
given the points are A (a,0,1) and B (0,1,2)
`AB=sqrt((a-0)^(2)+(0-1)^(2)+(1-2)^(2))`
`sqrt27= sqrt(a^(2)+1+1)`
`27=a^(2)+2`
`a^(2)=25`
`a=+-5`
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