Read the paragraph carefully and answer the questions given below it,
Stereo//space isomerism in coordination compounds
Gcometrical isomerism: Exhibited by square planer and octahedral complexes (not by tetrahedral complexes because relative positions are similar). If opposite positions have similar groups, it is trans, otherwise it is cis,
Optical isomerism: Shown when mirror image is non-superimposable. Cis-isomer shows but trans isomer does not
QBoth geometrical and optical isomerism are shown by

Options

A. `[Co(en)_(2) Cl_(2)]^(+)`
B. `[Co(NH_(3))_(5).CI]^(2+)`
C. `[CO(NH_(3))_(4)Cl_(2)]`
D. `[Cr(OX)_(3)]^(3-)`

Answer

To solve the question regarding stereo space isomerism in coordination compounds, we will analyze the information provided in the paragraph and the video transcript step by step.

### Step 1: Understand the Types of Isomerism
- **Geometrical Isomerism**: This occurs in square planar and octahedral complexes. It is characterized by the arrangement of ligands around the central metal atom. If similar groups are opposite each other, it is termed "trans"; if they are adjacent, it is termed "cis".
- **Optical Isomerism**: This occurs when a compound has non-superimposable mirror images. The cis isomer can show optical isomerism, while the trans isomer usually does not because it often has a plane of symmetry.

**Hint**: Identify the types of isomerism and their characteristics from the paragraph.

### Step 2: Identify Coordination Compounds
- The question asks which compounds can exhibit both geometrical and optical isomerism. We need to look for coordination compounds with a coordination number of 6, as these can form octahedral complexes.

**Hint**: Focus on coordination number and the type of ligands involved.

### Step 3: Analyze the Options
- The options provided in the question need to be evaluated based on their ability to show both types of isomerism. The video transcript suggests that option A is the correct answer because it can show both geometrical and optical isomerism.

**Hint**: Compare each option to see which can form cis and trans isomers and whether they can be optically active.

### Step 4: Draw Structures
- For the compound in option A, draw the structures of both the cis and trans forms.
- **Cis Form**: In the cis form, similar ligands are adjacent, which can lead to non-superimposable mirror images.
- **Trans Form**: In the trans form, similar ligands are opposite each other, often resulting in a plane of symmetry, making it optically inactive.

**Hint**: Visualize the structures to understand how they relate to the isomerism.

### Step 5: Confirm Optical Activity
- Check the optical activity of the cis and trans forms. The cis form is optically active (non-superimposable mirror images), while the trans form is optically inactive due to symmetry.

**Hint**: Remember that only the cis form can show optical isomerism.

### Conclusion
Based on the analysis, the coordination compound that exhibits both geometrical and optical isomerism is option A.

### Final Answer
**Option A** is the correct answer as it can show both geometrical and optical isomerism.