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Let L(1) and L(2) be the foollowing stra...

Let `L_(1) and L_(2)` be the foollowing straight lines.
`L_(1): (x-1)/(1)=(y)/(-1)=(z-1)/(3) and L_(2): (x-1)/(-3)=(y)/(-1)=(z-1)/(1)`
Suppose the striight line `L:(x-alpha)/(l)=(y-m)/(m)=(z-gamma)/(-2)` lies in the plane containing `L_(1) and L_(2)` and passes throug the point of intersection of `L_(1) and L_(2)` if the L bisects the acute angle between the lines `L_(1) and L_(2)`, then which of the following statements is /are TRUE ?

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