Concept:
Vitamins are broadly classified into two categories based on their solubility:
• Fat-soluble vitamins: A, D, E, K
• Water-soluble vitamins: B-complex group and Vitamin C
Fat-soluble vitamins are stored in body tissues, especially in the liver and adipose tissue.
Step 1: Identifying fat-soluble vitamins.
The fat-soluble vitamins are:
\[
A, D, E, K
\]
These vitamins require dietary fat for absorption and can be stored in the body.
Step 2: Understanding given options.
Let us analyze each option carefully:
• Biotin — A B-complex vitamin (Vitamin B$_7$), water-soluble.
• Vitamin B$_1$ — Thiamine, water-soluble.
• Vitamin D — Fat-soluble vitamin. Correct.
• Vitamin B$_{12$} — Water-soluble.
Step 3: Key properties of Vitamin D.
Vitamin D:
• Is absorbed along with fats in the intestine
• Can be synthesized in skin via sunlight exposure
• Is stored in the liver and fat tissues
Final Conclusion:
Among the given options, only Vitamin D is fat-soluble. Therefore, the correct answer is option (3).