"Is this a toothbrush or a razor?"
Translation:Ez fogkefe vagy borotva?
Not in this sentence. Sentences with a form of 'to be' in English, or van in Hungarian are so-called copula sentences. Those have no object but are rather connecting two subjects. Verbs like van - to be, megy - to go, or alszik - to sleep are intransitive, meaning that they cannot have a direct object.
To make ez a direct object that would warrant the use of definite conjugation (I guess that's what you want to ask about, no?), you'd need a transitive verb. Let's take "I see this." - "Ezt látom." Note that the object receives a -t suffix, and only those objects determine whether the direct or indirect conjugation is used.