Solution:Immediately after its independence in December, 1971, India was one of the first countries to recognise Bangladesh as a separate and independent nation and established diplomatic relations with the country.Hence, statement (1) is correct.
It was during the visit of PM Narendra Modi to Bangladesh in March, 2021 that it was decided to commemorate 6th December as Maitri Diwas.
Ten days before the liberation of Bangladesh, India recognised Bangladesh on 6th December, 1971.
Hence, statement (2) is correct.