Step 1: Understanding the Concept:
Fibres are classified based on their origin. Animal fibres are derived from animals, while plant fibres are derived from plants.
Step 2: Detailed Explanation:
Let's analyze the origin of each fibre:
(A) Silk: Silk is a natural protein fibre obtained from the cocoons of the larvae of the mulberry silkworm (\textit{Bombyx mori}). Since the silkworm is an insect, silk is an animal fibre.
(B) Cotton: Cotton is a soft fibre that grows in a boll, or protective case, around the seeds of cotton plants. It is a plant fibre.
(C) Jute: Jute is a long, soft, shiny vegetable fibre that is spun into coarse, strong threads. It is obtained from the stem of the jute plant. It is a plant fibre.
(D) Coir: Coir is a natural fibre extracted from the outer husk of coconuts. It is a plant fibre.
Step 3: Final Answer:
Among the given options, only silk is derived from an animal source.