Explanation:

- Maharani Gayatri Devi was a famous royal and politician from Jaipur.

- She was a member of the Swatantra Party, which was an opposition party to the Indian National Congress and was known for its support of market-friendly policies.

- Option 2, Bharatiya Janata Party, was formed much later and she never joined it.

- Option 3, Bahujan Samaj Party, mainly represents Dalit and backward communities and has no connection with her.

- Option 4, Indian National Congress Party, was the party she opposed.