Anjana was born to a Hindu Sindhi family in Jaipur. She did her schooling from Kamla High School, Khar, Mumbai. Academically inclined, she holds a Management Degree in International Business.
Her sister Meena Sukhani made her debut in the movie Bachna Ae Haseeno. During the early years of her career, she was cast in a television advertisement for Cadbury Dairy Milk chocolates with the Bollywood superstar Amitabh Bachchan. Even though she does not have a film industry related background, she has figured in sizeable roles like in the 2007 multi-starrer blockbuster film Salaam-e-Ishq, following which she starred in Golmaal Returns, a sequel to the 2006 hit film Golmaal.
Her other releases were Jai Veeru, Jashnn and her Kannada debut film Maleyali Jotheyali alongside Ganesh and Yuvika Chaudhary. She has been cast in Tollywood actor Ravi Teja's film Don Seenu marking her entry into Tollywood.
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