A: The complex `[Co(NH_3)_3Cl_3]` gives white ppt with `AgNO_(3)` solution
R: Chlorine always gives white ppt with `AgNO_(3)` solution 

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true statement but Reason is false, then mark (3).
D. If both Assertion and Reason are false statements, then mark (4)

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion:**
- The assertion states that the complex \([Co(NH_3)_3Cl_3]\) gives a white precipitate with \(AgNO_3\) solution.
- To evaluate this, we need to consider whether the chlorine in this complex is ionizable. In coordination compounds, ligands that are part of the coordination sphere (like \(NH_3\) and \(Cl\) in this case) do not dissociate into ions when the complex is dissolved.

2. **Analyzing the Reaction:**
- When \(AgNO_3\) is added to a solution containing ionizable chloride ions (\(Cl^-\)), a white precipitate of silver chloride (\(AgCl\)) forms:
\[ Ag^+ + Cl^- \rightarrow AgCl \, (s) \]
- However, in the complex \([Co(NH_3)_3Cl_3]\), the chlorine atoms are part of the coordination sphere and are not available as free chloride ions. Therefore, no reaction occurs, and no white precipitate is formed.

3. **Conclusion on the Assertion:**
- Since the chlorine in \([Co(NH_3)_3Cl_3]\) is non-ionizable, the assertion is **false**.

4. **Understanding the Reason:**
- The reason states that chlorine always gives a white precipitate with \(AgNO_3\) solution.
- This statement is misleading because only ionizable chlorine (i.e., chloride ions that are free in solution) will react with \(AgNO_3\) to form a precipitate. Chlorine that is part of a coordination complex does not react in this way.

5. **Conclusion on the Reason:**
- Since the reason is also incorrect (as it generalizes the behavior of chlorine without considering its ionization state), the reason is **false**.

6. **Final Evaluation:**
- Both the assertion and the reason are false. Therefore, the correct answer is option 4: both assertion and reason are false.