Explanation:

- Option 1: Bharatanatyam is a classical dance form from Tamil Nadu, known for its grace and storytelling elements. It is not the dance form for which Kalamandalam Rajan received the award.

- Option 2: Odissi is a classical dance from Odisha, characterized by its fluid movements and spiritual themes. Kalamandalam Rajan is not associated with this dance form.

- Option 3: Kathakali is a highly stylized classical Indian dance-drama from Kerala, noted for its elaborate costumes and expressive performances.

- Your guess seems to align here as Kalamandalam Rajan indeed received the Sangeet Natak Akademi Award 2009 for Kathakali.

- Option 4: Kathak is a dance from Northern India, involving intricate footwork and spins. Kalamandalam Rajan is not linked with this dance form.