The correct answer is: a) Karnataka.
The Kaveri (Cauvery) is an important river originating in the Western Ghats of Karnataka. It flows through the states of Karnataka, Tamil Nadu, and Puducherry, and finally empties into the Bay of Bengal. The Kaveri is a major source of water for irrigation, drinking water, and hydroelectric power for millions of people in the region.
Option b) Kerala is incorrect because the Kaveri does not originate in Kerala. The Kaveri originates in the Western Ghats of Karnataka.
Option c) Andhra Pradesh is incorrect because the Kaveri does not originate in Andhra Pradesh. The Kaveri originates in the Western Ghats of Karnataka.
Option d) Telangana is incorrect because the Kaveri does not originate in Telangana. The Kaveri originates in the Western Ghats of Karnataka.