The correct option is 2 and 3 only.
Explanation
The Kaveri (Cauvery) is one of the major east-flowing rivers of Peninsular India. It is sacred to the people of South India and is often referred to as the "Ganga of the South" (Dakshin Ganga).
- Statement 1 is Incorrect: The River Kaveri rises in the Brahmagiri range of the Western Ghats in the Kodagu (Coorg) district of Karnataka. It is the River Krishna that rises near Mahabaleshwar in the Sahyadri.
- Statement 2 is Correct: The Kaveri basin extends over the states of Tamil Nadu, Karnataka, Kerala, and the Union Territory of Puducherry. According to standard geographical data, approximately 56 % of the basin area falls within Tamil Nadu, about 41 % in Karnataka, and roughly 3 % in Kerala.
- Statement 3 is Correct: The river has several important tributaries. The Bhavani and Amravati are significant tributaries joining from the right bank. Other major tributaries include the Kabini, Hemavati, and Arkavathi.
Key Takeaway: The Kaveri originates in the Brahmagiri hills (Karnataka), not Mahabaleshwar. Its basin is predominantly located in Tamil Nadu (56%) and Karnataka (41%), and its major tributaries include the Kabini, Bhavani, and Amravati.