DFA for strings containing either aa or bb, a^mb^n where, m,n are greater than or equal to 1, and gr

Here, DFA design for the strings
i. containing either aa or bb
ii. a^mb^n where, m,n are greater than or equal to 1
iii.a^mb^n where, m,n are greater than or equal to 0
have been shown.

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[tarush]

Sir can we make a self loop only in the initial state for both a and b ???

[ManuJindal]

02:42 isn't it wrong bcz it accepts aabb which contains both 'aa' and 'bb'?