If a cross between two individuals produces offsprings with 50% dominant character (A) and 50% recessive character (a) the genotype of parents are:

Options

A. `Aa xx Aa`
B. `Aa xx aa`
C. `A A xx aa`
D. `A A xx Aa`

Answer

To solve the problem, we need to determine the genotypes of the parents based on the offspring's phenotypic ratio. The offspring produced from the cross show a 50% dominant character (A) and 50% recessive character (a).

### Step-by-Step Solution:

1. **Understanding the Cross**:
- The offspring ratio of 50% dominant (A) and 50% recessive (a) indicates that there are two different types of offspring produced from the cross.
- This suggests that one parent must carry the dominant allele (A) and the other parent must carry the recessive allele (a).

2. **Identifying the Genotypes**:
- The parent that produces the dominant phenotype could either be homozygous dominant (AA) or heterozygous (Aa).
- The other parent must be homozygous recessive (aa) since it can only contribute the recessive allele (a).

3. **Analyzing the Outcomes**:
- If the dominant parent were homozygous (AA), all offspring would be dominant (AA) when crossed with the recessive parent (aa). This would result in 100% dominant phenotype, which contradicts the given 50% dominant and 50% recessive ratio.
- Therefore, the dominant parent must be heterozygous (Aa).

4. **Final Genotype of Parents**:
- The genotype of the heterozygous parent is Aa, and the genotype of the homozygous recessive parent is aa.
- Thus, the correct genotypes of the parents are Aa (heterozygous) and aa (homozygous recessive).

### Conclusion:
The genotypes of the parents are:
- One parent: Aa (heterozygous)
- Other parent: aa (homozygous recessive)