Karnataka has a rich heritage of performing arts like:

Yakshagana
Bharatanatyam
Kathakali
Lavani

The correct answer is: A) Yakshagana.

Yakshagana is a traditional form of Indian theatre that originated in Karnataka. It is a dance-drama that is performed in a narrative style, with the actors singing and dancing to the accompaniment of music. The stories that are told in Yakshagana are often based on Hindu mythology or epics.

Bharatanatyam is a classical Indian dance form that originated in Tamil Nadu. It is a highly stylized dance that is performed to the accompaniment of music. The movements of Bharatanatyam are graceful and elegant, and the dancers often wear elaborate costumes and jewelry.

Kathakali is a classical Indian dance form that originated in Kerala. It is a highly dramatic dance that is performed to the accompaniment of music. The movements of Kathakali are exaggerated and stylized, and the dancers often wear elaborate costumes and makeup.

Lavani is a folk dance form that originated in Maharashtra. It is a lively and energetic dance that is performed to the accompaniment of music. The movements of Lavani are often sensual and provocative, and the dancers often wear colorful costumes.

Yakshagana is the only option that is a traditional form of Indian theatre that originated in Karnataka. The other options are all classical Indian dance forms that originated in other parts of India.