Choose the sentence that does not have an Adjective Clause -

The correct answer is Option (2) → A city on a hill.

An adjective is a word that describes a noun or a pronoun, for example a tall tree, the food is tasty.

Adjective clause:

• An adjective clause is a group of words that:
  • has its own subject and verb.
  • describes a noun or pronoun.
  • usually begins with who, which or that, or has the relative word left out.
• This sentence: "on a hill" describes "city", but it has no subject or verb, so it is an adjective phrase. The sentence has no clause at all.
  Example: The boy who won the prize is my cousin.

Why the Other Options are Incorrect?

Option 1: I am the monarch of all I survey. — Incorrect. Correct use: "(that) I survey" has a subject and a verb and describes "all": it is an adjective clause.

Option 3: He laughs best who laughs last. — Incorrect. Correct use: "who laughs last" describes "he": it is an adjective clause.

Option 4: Here is the box you wanted. — Incorrect. Correct use: "(that) you wanted" describes "the box": it is an adjective clause.

Contrast: an adjective clause has its own subject and verb ("who laughs last"). An adjective phrase has none ("on a hill").