Final answer:
The necessary condition for the object to move straight down is (A + B = C).
Step-by-step explanation:
In order for the object to move straight down, the sum of the magnitudes of the forces acting in the horizontal direction (A and B) must be equal to the magnitude of the force acting in the downward direction (C). Therefore, the necessary condition is (A + B = C), so option a) is the correct answer.