Both geometrical and optical isomerism are shown by

Options

A. `[Co(en)_(2) Cl_(2)]^(+)`
B. `[Co(NH_(3)_(5)Cl]^(2+)`
C. `[Co(NH_(3))_(4)Cl_(2)]^(+)`
D. `[Cr("ox")_(3)]^(3-)`

Explanation

To determine which coordination compound exhibits both geometrical and optical isomerism, we can analyze the options provided. Here's a step-by-step solution:

### Step 1: Understanding Isomerism
- **Geometrical Isomerism** occurs when there are different spatial arrangements of ligands around a central metal atom, typically seen in coordination compounds with square planar or octahedral geometries.
- **Optical Isomerism** arises when a compound can exist in two forms that are mirror images of each other (enantiomers) and cannot be superimposed on one another.

### Step 2: Analyzing the Options
1. **Option 1**: Check if it can show both types of isomerism.
2. **Option 2**: Check if it can show both types of isomerism.
3. **Option 3**: Check if it can show both types of isomerism.
4. **Option 4**: Check if it can show both types of isomerism.

### Step 3: Evaluating Each Option
- **Option 4**: It shows optical isomerism but does not exhibit geometrical isomerism. Thus, it cannot be the answer.
- **Option 3**: It shows only geometrical isomerism. Therefore, it cannot be the answer.
- **Option 2**: It does not show any isomerism. Hence, it cannot be the answer.
- **Option 1**: It shows both geometrical and optical isomerism. This is the correct option.

### Step 4: Identifying the Isomers
- For the compound in **Option 1**, we can illustrate:
- **Geometrical Isomers**: These include the **cis** and **trans** forms.
- **Optical Isomers**: These are the non-superimposable mirror images of the cis form.

### Conclusion
The coordination compound in **Option 1** is the one that exhibits both geometrical and optical isomerism.

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