Final answer:
The position of the object in this convex mirror setup is 3 cm from the mirror.
Step-by-step explanation:
A convex mirror with a focal length of 9 cm produces an image on its axis 6 cm from the mirror. To find the position of the object, we can use the mirror equation:
1/f = 1/do + 1/di
Where f is the focal length, do is the object distance, and di is the image distance.
Using the given values, we have:
1/9 = 1/do + 1/6
Solving for do:
1/do = 1/9 - 1/6
do = 1/(1/9 - 1/6) = 3 cm
Therefore, the position of the object is 3 cm from the mirror (option A).