Statement-1: The point $$A\left( {1,\,0,\,7} \right)$$   is the mirror image of the point $$B\left( {1,\,6,\,3} \right)$$   in thel ine : $$\frac{x}{1} = \frac{{y - 1}}{2} = \frac{{z - 2}}{3}$$
Statement-2: The line $$\frac{x}{1} = \frac{{y - 1}}{2} = \frac{{z - 2}}{3}$$     bisects the line segment joining $$A\left( {1,\,0,\,7} \right)$$   and $$B\left( {1,\,6,\,3} \right)$$

Solution :
The direction ratios of the line segment joining points $$A\left( {1,\,0,\,7} \right)$$   and $$B\left( {1,\,6,\,3} \right)$$   are $$0,\,6,\,-4.$$
The direction ratios of the given line are 1, 2, 3.
Clearly $$1 \times 0 + 2 \times 6 + 3 \times \left( { - 4} \right) = 0$$
So, the given line is perpendicular to line $$AB.$$
Also , the mid point of $$A$$ and $$B$$ is (1, 3, 5) which lies on the given line.
So, the image of $$B$$ in the given line is $$A,$$  because the given line is the perpendicular bisector of line segment joining points $$A$$ and $$B.$$  But statement-2 is not a correct explanation for statement-1.