Memon, . . . . . . . . of former information minister Nisar Memon, had entered politics in 2003?

The correct answer is (A) the daughter.
Let's break down why:

* Why "the daughter"?
We use "the" when we're talking about a specific daughter.
The sentence implies that Memon is *the* well-known daughter in connection with Nisar Memon.
It assumes the audience knows which daughter is being referred to.

* Why not "a daughter"?
"A daughter" would mean Memon is *one* of Nisar Memon's daughters, but not necessarily a particularly known or relevant one.
It's less specific.

* Why not "daughter"?
"Daughter" alone is grammatically incorrect in this sentence structure.
It needs an article ("a" or "the") before it to function properly as a noun describing Memon.
* Why not "none of the above"?
Because option (A) is the correct one, the daughter is the suitable answer.