How van we prove these? a) the quotient space X/A is T1 iff A is closed. b)If X is T3 and A is closed, then X/A is T2

Quotient space

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nika

How van we prove these?
a) the quotient space X/A is T1 iff A is closed.
b)If X is T3 and A is closed, then X/A is T2

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