Assertion :- Law of dominance is based on the fact that both the characters are recovered as such in `F_(2)` generation.
Reason :- In a pair of factors one member always dominates the
other.

Options

A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
B. If both Assertion & Reason are trur but Reason is not a correct explanation of the Assertion.
C. If Assertion is True but the Reason is Flase.
D. If both Assertion & Reason are false.

Answer

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

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "the Law of dominance is based on the fact that both the characters are recovered as such in F2 generation."
- According to Mendel's Law of Dominance, in a heterozygous condition, the dominant trait will mask the expression of the recessive trait. In the F2 generation, we observe a phenotypic ratio of 3:1 for dominant to recessive traits, indicating that the recessive trait does not express itself when paired with a dominant trait. Therefore, the assertion is **incorrect**.

2. **Understanding the Reason**:
- The reason states that "in a pair of factors one member always dominates the other."
- This statement is partially true; in a heterozygous condition (where one allele is dominant and the other is recessive), the dominant allele does indeed mask the recessive allele. However, in a homozygous condition (where both alleles are the same), both alleles express the same trait. Thus, the reason is also **incorrect**.

3. **Evaluating the Options**:
- We have four options to choose from:
- A: Both assertion and reason are true, and reason is the correct explanation of the assertion.
- B: Both assertion and reason are true, but reason is not the correct explanation of the assertion.
- C: Assertion is true, but reason is false.
- D: Both assertion and reason are false.
- Since both the assertion and the reason are incorrect, the correct answer is **D**: both assertion and reason are false.

### Final Answer:
The correct answer is **D**: Both assertion and reason are false.