Step 1: Understand the concept of fat-soluble vitamins. Fat-soluble vitamins are stored in the body's fatty tissues and liver, and they are absorbed along with dietary fats. These include Vitamins A, D, E, and K.
Step 2: Review the characteristics of water-soluble vitamins. Water-soluble vitamins, such as Vitamin B complex and Vitamin C, dissolve in water and are not stored in the body. They need to be consumed regularly.
Step 3: Analyze the options provided in the question. Vitamin B₁₂ and Vitamin B₆ are part of the water-soluble Vitamin B complex group, and Vitamin C is also water-soluble. Vitamin A, however, is fat-soluble.
Step 4: Recall that fat-soluble vitamins are absorbed with dietary fats and stored in the body, making Vitamin A the correct answer based on its classification.
Step 5: Conclude that Vitamin A is the only fat-soluble vitamin among the options provided, while the others (Vitamin B₁₂, Vitamin B₆, and Vitamin C) are water-soluble.