Concept:
In carding, fibre transfer occurs between different wire-covered surfaces. When both surfaces are clothed with metallic wires and directly transfer fibres from one to another, it is known as point-to-point action.
This action ensures controlled fibre transfer without excessive fibre damage or loss.
Step 1: Understand point-to-point action.
Point-to-point action occurs when two clothed surfaces interact directly for fibre transfer.
\[
\text{Point-to-point} \Rightarrow \text{Clothed surface to clothed surface}
\]
Step 2: Identify possible interacting pairs.
In carding machine:
• Cylinder is clothed
• Doffer is clothed
Both are designed for fibre transfer.
Step 3: Eliminate incorrect options.
Option (A): Flat and Cylinder
This is carding action, but not point-to-point transfer.
Option (C): Licker-in and Cylinder
This is feed opening action, not point-to-point transfer.
Option (D): Licker-in and Doffer
No direct interaction in normal carding operation.
Step 4: Final answer selection.
Thus, point-to-point action occurs between:
\[
\boxed{\text{Cylinder and Doffer}}
\]
So,
\[
\boxed{\text{Option (B) is correct.}}
\]