Question: "conceive" used in the same way in the following two sentences?

Assisted procreation can help those trying to conceive.

The racist conceives such people to be inferior.
Answer: different meanings
Question: "letter" used in the same way in the following two sentences?

The letter of a room.

There are twenty-six letters in the English alphabet.
Answer: different meanings
Question: "hand" used in the same way in the following two sentences?

On the one hand ..., but on the other hand ...

A good hand.
Answer: different meanings
Question: "origin" used in the same way in the following two sentences?

The rumor had its origin in idle gossip.

Vegetable origins.
Answer:
the same meaning