The compound `Co(en)_(2)(NO_(2))_(2)CI` has been prepared in these isomeric forms `A,B` and `C` A does not react with `AgNO_(3)` or (en) and is optically inactive `B` reacts with `AgNO_(3)` but not with `(en)` and is optically inactive `C` is optically active and reacts with both `AgNO_(3)` and (en) identify each of these isomeric forms and draw their structures .

Explanation

To solve the problem of identifying the isomeric forms A, B, and C of the compound `Co(en)_(2)(NO_(2))_(2)Cl`, we will analyze the given information step by step.

### Step 1: Understanding the Coordination Compound
The compound `Co(en)_(2)(NO_(2))_(2)Cl` consists of cobalt (Co) as the central metal ion, ethylenediamine (en) as a bidentate ligand, two nitro (NO2) ligands, and one chloride (Cl) ligand. The coordination number of cobalt in this case is 6.

### Step 2: Analyzing Isomer A
- **Properties**: A does not react with AgNO3 or en and is optically inactive.
- **Structure**: Since it does not react with AgNO3, the chloride must be outside the coordination sphere. The nitro groups are likely in a trans configuration, leading to a symmetrical structure.
...