Archaea live in both extreme and moderate environments those living in extreme condition are called:

Explanation

The correct term for organisms that live in extreme environments is extremophile. These organisms have adapted to survive in harsh conditions such as extreme heat, cold, acidity, or salinity, which would be detrimental to most other life forms.The other options are incorrect for the following reasons:Methanogen: While methanogens are a type of extremophile, the term specifically refers to those archaea that produce methane, and not all extremophiles are methanogens.Extremophyte: This term inaccurately combines concepts and is not used in scientific contexts to describe extremophiles.Extremogeus: This is not a recognized term and appears to be a misspelling or misunderstanding of 'extremophile'.