This is an 'adverb infinitive'. It is not a participle, either present of past, because it doesn't end in -ing. And it is not an 'adjective infinitive' since its meaning is adverbial, 'you must capture or trap the other king' IN ORDER 'to win a game of chess'. Adjective has to modify a noun, which isn't the case in this sentence.
Answer:
We dont know the answer, We havent read what you are reading
Explanation:
This is a question from a story, we didnt read the story
Without adjectives, we could not describe things. Color would be less precious to us: there would be cars, but not red cars or blue cars or black cars. In describing a cat to someone who’s never owned a cat, all you could say is, “A cat is an animal with ears and a tail.” You couldn’t explain its soft fur or sharp claws.
I believe your answer is A. the murderer of the Cretan King's Son.
When Athena comes to him dressed up as a shepherd, Odysseus tries to conceal his identity from her until she tells him her identity. He says he killed Orsilochus, Son of Idomeneus.