This question has Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1: The point $$A(1, 0, 7)$$ is the mirror image of the point $$B(1, 6, 3)$$ in the line $$\dfrac{x}{1} = \dfrac{y-1}{2} = \dfrac{z-2}{3}$$. Statement-2: The line $$\dfrac{x}{1} = \dfrac{y-1}{2} = \dfrac{z-2}{3}$$ bisects the line segment joining $$A(1, 0, 7)$$ and $$B(1, 6, 3)$$.

The given line is $$\dfrac{x}{1}= \dfrac{y-1}{2}= \dfrac{z-2}{3}$$ whose direction vector is $$\mathbf{d}=(1,2,3)$$ and whose parametric form is
$$x=t,\; y=1+2t,\; z=2+3t\qquad (t\in\mathbb{R}).$$

Step 1 : Mid-point of $$AB$$
$$A(1,0,7),\; B(1,6,3)$$
Mid-point $$M=\left(\tfrac{1+1}{2},\tfrac{0+6}{2},\tfrac{7+3}{2}\right)=(1,3,5).$$

Substituting $$x=1$$ in the parametric form gives $$t=1$$.
For $$t=1$$, $$y=1+2(1)=3,\; z=2+3(1)=5$$ which matches the co-ordinates of $$M$$. Hence $$M$$ lies on the line.
Therefore the line bisects the segment $$AB$$, proving Statement-2 is true.

Step 2 : Perpendicularity test
Vector $$\overrightarrow{AB}=B-A=(0,6,-4).$$
Dot product with the direction vector:
$$\overrightarrow{AB}\cdot\mathbf{d}=0\cdot1+6\cdot2+(-4)\cdot3=0+12-12=0.$$
Thus $$\overrightarrow{AB}$$ is perpendicular to the given line.

Step 3 : Mirror-image criterion about a line in 3-D
For a point $$P$$ and its mirror image $$P'$$ about a line $$\ell$$ to exist, the following two simultaneous conditions must hold:
(i) $$\ell$$ passes through the mid-point of $$PP'$$ (it bisects the segment), and
(ii) $$PP'$$ is perpendicular to $$\ell$$.

Both conditions are satisfied for the pair $$A,B$$ with respect to the given line. Hence $$A$$ is indeed the mirror image of $$B$$ in that line, making Statement-1 true.

Step 4 : Relation between the statements
While Statement-2 (bisecting property) is necessary, it is not sufficient by itself to guarantee that one point is the mirror image of the other. The additional perpendicularity verified in Step 2 is also required. Therefore Statement-2 does not fully explain Statement-1.

Hence the correct choice is:
Option A which is: Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.