The 39-year-old actor, who welcomed her first child on December 9, 2015, said they want their little one to have a normal childhood and not live life full of "privileges".
"It's our decision. My husband being a private person wants Adira to have a normal upbringing. Seeing the circumstances around her, where the parents are slightly known, there will always be an intrigue as to 'how our child is?'. There will be a kind of extra attention which probably they don't deserve.
The actor said she does not want her daughter to get the celebrity-like attention or treatment.
"When you have that kind of attention, we try that if she is on a beach with her friends, or she is going to a park, she should go unnoticed, without anyone around her saying, 'Oh! she is the daughter of so and so.'
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Rani was speaking at the trailer launch of her upcoming film "Hichki", which marks her first, after the birth of her daughter.
The Yash Raj Films project is directed by Siddharth P Malhotra.
The actor praised her husband Aditya for cooperating and taking care of Adira while she was off shooting.