Explanation:

- Option 1: Chitra Visweswaran is a renowned Bharatanatyam dancer from India. She has made significant contributions to the field of dance but is not known for receiving the French Palme D'or in 1977.

- Option 2: Oopali Operajita is less documented in terms of receiving such international honors in 1977. There might be lesser-known contributions, but this name doesn't prominently feature in the context of the Palme D'or award.

- Option 3: Mallika Sarabhai is a distinguished dancer, choreographer, and activist. However, she is not the recipient of the French Palme D'or by the French Government in 1977.

- Option 4: Kavya Madhavan is predominantly known as an actress and not primarily for international dance awards, especially from 1977.

The correct answer is that none of the mentioned Indian dancers was awarded the French Palme D'or by the French Government in 1977 as per available documented information. Therefore, none of the options provided is likely to be correct.

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