Which of following isomers of `[M(NH_(3))_(2)Cl_(2)]` would react with silver oxalate `(Ag_(2)C_(2)O_(4))` :-

Options

A.
B.
C. Both
D. None

Explanation

To determine which isomer of \([M(NH_3)_2Cl_2]\) reacts with silver oxalate \((Ag_2C_2O_4)\), we need to analyze the structure of the isomers and the nature of the ligands involved.

### Step-by-Step Solution:

1. **Identify the Isomers**:
The compound \([M(NH_3)_2Cl_2]\) can exist in two forms: cis and trans isomers. In the cis isomer, the similar ligands (NH3 or Cl) are adjacent to each other, while in the trans isomer, they are opposite.

2. **Understand Ligand Types**:
- Amine (NH3) and chloro (Cl) are monodentate ligands, meaning they can form one bond with the metal center.
- Oxalate \((C_2O_4^{2-})\) is a bidentate ligand, which means it can form two bonds with the metal center.

3. **Reactivity of Bidentate Ligands**:
Bidentate ligands tend to replace monodentate ligands that are similar and adjacent to each other. Therefore, the oxalate ion will replace two similar ligands that are next to each other.

4. **Analyze the Isomers**:
- In the **cis isomer**, both NH3 or both Cl ligands are adjacent. This arrangement allows the oxalate ion to replace the two adjacent ligands.
- In the **trans isomer**, the similar ligands are opposite each other, which means the oxalate cannot effectively replace them.

5. **Conclusion**:
The cis isomer of \([M(NH_3)_2Cl_2]\) will react with silver oxalate \((Ag_2C_2O_4)\) because it has the required adjacent similar ligands for the bidentate oxalate to replace.

### Final Answer:
The isomer that would react with silver oxalate \((Ag_2C_2O_4)\) is the **cis isomer** of \([M(NH_3)_2Cl_2]\).