$\text{ Let }{\mathrm{L}}_1\text{ and }{\mathrm{L}}_2\text{ be the following straight line. }$

${\mathbf{L}}_1:\frac{\mathrm{x}-1}{1}=\frac{\mathrm{y}}{-1}=\frac{\mathrm{z}-1}{3}\text{ and }{\mathrm{L}}_2:\frac{\mathrm{x}-1}{-3}=\frac{\mathrm{y}}{-1}=\frac{\mathrm{z}-1}{1}$$\text{Suppose the straight line}$

$\mathrm{L}:\frac{\mathrm{x}-\alpha }{l}=\frac{\mathrm{y}-1}{\mathrm{m}}=\frac{\mathrm{Z}-\gamma }{-2}$$\text{ lies in the plane containing }{\mathrm{L}}_1\text{ and }{\mathrm{L}}_2\text{ , and passes through the point of intersection of }{\mathrm{L}}_1\text{ and }{\mathrm{L}}_2\text{ . If }$

$\text{ the line }L\text{ bisects the acute angle between the lines }{L}_1\text{ and }{L}_2,\text{ then which of the following }$

$\text{ statements is/are TRUE? }$