Final answer:
None of the options provided (a, b, c) are correct for positioning a cat to examine its right lateral front leg. The cat should either be standing with the leg extended or lying on its left side with the right leg accessible.
Step-by-step explanation:
When a veterinarian requests to examine the right lateral front leg of a cat, the correct positioning would be none of the options provided (a, b, c). Generally, for such an examination, the cat should be either standing or lying on its side with the leg in question being accessible and not beneath the cat's body. In a standing position, the right lateral front leg would be the right foreleg, and it would be extended away from the cat's body. If the cat is lying down, it would be on its left side so that the right lateral front leg is facing upwards and can be examined comfortably.