This might help.
This is certainly not a real GMAT question. There is nothing wrong with A.
Here is how parallelism works with infinitives:
Correct: I like to eat, to sleep, and to run. (The list starts after the word "like".)
Correct: I like to eat, sleep, and run. (The list starts after the "to".)
Incorrect: I like to eat, sleep, and to run.
You must stay consistent! Use "to" in every item, or parallel items can be just the base verb after the "to".
As for dear/dearly:
This a matter of adjectives versus adverbs.
"Dear" is an adjective. Adjectives describe ONLY NOUNS.
"Dearly" is an adverb. Adverbs describes words that are NOT NOUNS.
In this sentence, we are trying to describe the word "homeland," which is a noun.
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