Concept:
Joints are fractures in rocks along which there is no significant displacement. They may form due to residual stress, tension, contraction or compression.
Step 1: Match Sheet joints.
Sheet joints commonly develop due to unloading or release of residual stress.
\[
A\rightarrow II
\]
Step 2: Match Extension joints.
Extension joints form due to tensional stress.
\[
B\rightarrow IV
\]
Step 3: Match Columnar joints.
Columnar joints commonly develop due to contraction during cooling of lava or igneous bodies.
\[
C\rightarrow I
\]
Step 4: Match Conjugate joints.
Conjugate joints are commonly related to compressional stress conditions.
\[
D\rightarrow III
\]
Therefore, the correct matching is:
\[
A-II,\ B-IV,\ C-I,\ D-III
\]
\[
\therefore \text{Correct Answer is (C)}
\]