The correct answer is option 'C', the Deccan plateau.

Explanation:
The Deccan plateau is home to the youngest rivers in India. Here's a detailed explanation:

1. Introduction:
- The rivers in India are classified based on their age and origin.
- The age of a river refers to the time elapsed since its formation.
- The younger the river, the more recent its formation.

2. The Deccan plateau:
- The Deccan plateau is a large plateau located in central and southern India.
- It covers a vast area, including parts of Maharashtra, Karnataka, Telangana, Andhra Pradesh, and Tamil Nadu.
- The plateau is characterized by its rolling hills, elevated plateaus, and extensive river systems.

3. Formation of rivers:
- Rivers are formed by the process of erosion, where water wears away the land and creates valleys and channels.
- The Deccan plateau is geologically younger compared to other regions in India.
- As a result, the rivers in this region have had less time to erode and form deep valleys and gorges.

4. Characteristics of rivers in the Deccan plateau:
- The rivers in the Deccan plateau are relatively younger and have a less developed drainage pattern.
- They have a moderate flow and exhibit a dendritic pattern, where smaller tributaries join the main river in a tree-like manner.
- The river valleys in this region are generally broader and less pronounced compared to the older river systems in other regions.

5. Examples of young rivers in the Deccan plateau:
- Some of the notable rivers in the Deccan plateau include the Godavari, Krishna, and Kaveri rivers.
- These rivers have their origins in the Western Ghats and flow through the Deccan plateau before reaching the Bay of Bengal or the Arabian Sea.

6. Conclusion:
- The Deccan plateau is home to the youngest rivers in India.
- The relatively recent formation of these rivers has resulted in a less developed drainage pattern and broader valleys compared to older river systems in other regions of the country.