Anjaiah or Anjayya is an Indian given name. Notable people with the name include:
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Anne Anjaiah (1905–1975), Indian freedom fighter
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Guda Anjaiah (1955–2016), Indian poet, singer, lyricist, and writer
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T. Anjaiah (1919–1986), Indian politician
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T. Anjaiah Lumbini Park, located in Hyderabad
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Indian given names