Statement-1: The point A(3,1,6) is the mirror image of the point B(1,3,4) in the plane x-y+z=5. Statement-2: The plane x-y+z=5 bisects the line segment joining A(3,1,6) and B(1,3,4).

The mid-point of AB = ((3+1)/2, (1+3)/2, (6+4)/2) = (2,2,5) lies on the plane. The direction ratios of AB are given by (3-1, 1-3, 6-4) = (2,-2,2). The direction ratios of the normal to the plane are given by (1,-1,1). Hence, AB is perpendicular to the normal of the plane. Therefore, AB is the perpendicular bisector of the given plane. => A is the image of B in the plane. Statement-2 is correct, the plane does bisect the line joining A and B, but that alone is not sufficient to determine whether A and B are mirror images of each other with respect to the plane. Therefore, statement 2 is not the correct explanation of statement 1. Hence, option 'A' is correct.