A : All the oxides of boron family with the general formula `M_(2) O_(3)` are basic .
R : From `B_(2) O_(3)` to `Tl_(2) O_(3)` basic character decreases .

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 regarding the assertion and reason about the oxides of the boron family, we will analyze both statements step by step.

### Step 1: Analyze the Assertion
The assertion states that "All the oxides of the boron family with the general formula M₂O₃ are basic."

- **Fact Check**: The oxides of the boron family (Group 13 elements) include B₂O₃, Al₂O₃, Ga₂O₃, In₂O₃, and Tl₂O₃.
- **Nature of B₂O₃**: Boron oxide (B₂O₃) is known to be acidic in nature, as it reacts with water to form boric acid (H₃BO₃).
- **Conclusion**: Since B₂O₃ is acidic, the assertion that all oxides of the boron family are basic is false.

### Step 2: Analyze the Reason
The reason states that "From B₂O₃ to Tl₂O₃, basic character decreases."

- **Fact Check**: As we move down the group from boron (B) to thallium (Tl), the basic character of the oxides actually increases.
- **Basicity Trend**:
- B₂O₃ is acidic.
- Al₂O₃ and Ga₂O₃ are amphoteric (can act as both acids and bases).
- In₂O₃ and Tl₂O₃ are basic.
- **Conclusion**: The statement that basic character decreases from B₂O₃ to Tl₂O₃ is also false.

### Final Conclusion
Both the assertion and the reason are false. Therefore, the correct answer is that both the assertion and reason are false.

### Summary of the Solution
- Assertion: False (B₂O₃ is acidic, not basic)
- Reason: False (Basic character increases from B₂O₃ to Tl₂O₃)