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)
Answer & explanation
Correct answer: option 2
The coordinates of the mid-point of AB are (2, 2, 5). Clearly, it lies on x - y + z = 5. So, statement-2 is true. Directions ratios of AB are proportional to 2, -2, 2 or 1, -1, 1 which are proportional to the direction ratios of normal to the plane.
So, A(3, 1, 6) is the mirror image of B(1, 3, 4). Hence, statement-1 is true. But, statement-2 is not a correct explanation for statement-1.