Hamlet character is complex in the excerpt because his loyalty to his ally endures hardship

His erratic behavior confuses his friend.

Explanation:

The following passage is the one you were given. It's a part of Act III of Hamlet, a tragedy written by William Shakespeare:

Rosencrantz: My lord, you once did love me.

Hamlet: So I do still, by these pickers and stealers.

Rosencrantz: Good my lord, what is your cause of distemper? You do surely bar the door upon your own liberty, if you deny your griefs to your friend.

Hamlet: Sir, I lack advancement.

Rosencrantz: How can that be when you have the voice of the king himself for your succession in Denmark?

Hamlet: Ay, sir, but 'While the grass grows,'—the proverb is something musty.

The options you were given are the following:

The given dialogue takes place between Hamlet and his childhood friend, Rosencrantz, who was summoned along with Guildenstern by King Claudius to distract Hamlet from his apparent madness and if possible to discover the cause of it. We can see that Hamlet's behavior has become erratic (Good my lord, what is your cause of distemper?) and that Rosencrantz is confused by it. He asks many questions, wanting to see what is on Hamlet's mind. This is why the second option is the correct one.

the answer should be a)directions.

i guess you are missing the idea that has to be supported, am i right?