When three forces acting at a point are in equilibrium:

Explanation

(a) Each force is numerically equal to the sum of the other two: When three forces are in equilibrium, it means that the net force acting on the object is zero. In this case, each force is equal in magnitude to the sum of the other two forces. This ensures that the forces cancel each other out and the object remains in a state of balance. (b) Each force is numerically greater than the sum of the other two: If each force is greater than the sum of the other two forces, the forces would not be in equilibrium. The net force acting on the object would be non-zero, resulting in a state of unbalanced forces. (c) Each force is numerically greater than the difference of the other two: Similarly, if each force is greater than the difference of the other two forces, the forces would not be in equilibrium. Again, the net force acting on the object would be non-zero, causing the object to be in an unbalanced state. (d) None of the above: This option means that none of the previous options accurately describe the condition of equilibrium for three forces acting at a point. In summary, option (a) is the correct one. When three forces are in equilibrium, each force is numerically equal to the sum of the other two forces. This ensures a state of balance and no net force acting on the object.