Step 1: Identify the compound used in electroplating.
Electroplating of gold is commonly carried out using complex cyanide salts of gold.
Potassium dicyanoaurate(I), \( K[Au(CN)_2] \), is used for gold electroplating because it provides a stable soluble gold complex.
So:
\[
A = v
\]
Step 2: Identify the compound used for removal of excess copper from human body.
D-penicillamine is a chelating agent.
It binds excess copper ions in the body and helps in their removal.
It is used in Wilson's disease, where copper accumulation occurs in the body.
So:
\[
B = iv
\]
Step 3: Identify the compound used for estimation of hardness of water.
Hardness of water is mainly due to \( Ca^{2+} \) and \( Mg^{2+} \) ions.
\( Na_2EDTA \) forms stable complexes with \( Ca^{2+} \) and \( Mg^{2+} \).
Therefore, \( Na_2EDTA \) is used in complexometric titration for estimation of hardness of water.
So:
\[
C = ii
\]
Step 4: Check the remaining compounds.
DMG is used mainly for detection or estimation of \( Ni^{2+} \) ions.
Cis-platin is an anticancer coordination compound.
Thus, these do not match the given processes.
Step 5: Write the complete matching.
From the above analysis:
\[
A = v,\quad B = iv,\quad C = ii
\]
Step 6: Match with given options.
The matching \( A = v,\; B = iv,\; C = ii \) corresponds to option (C).
Step 7: Conclusion.
Thus, the correct answer is:
\[
\boxed{A = v,\; B = iv,\; C = ii}
\]