In the Hardy-Weinberg's equation the homozygous dominant individuals in a population are represented by-

Options

A. `q^(2)`
B. p+q
C. 2pq
D. `p^(2)`

Answer

To answer the question regarding how homozygous dominant individuals are represented in the Hardy-Weinberg equation, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Hardy-Weinberg Principle**: The Hardy-Weinberg principle describes the genetic variation in a population that is not evolving. It provides a mathematical model to study genetic variation.

2. **Identifying Alleles**: In a population, there are typically two alleles for a trait, which we can denote as:
- **A** for the dominant allele
- **a** for the recessive allele

3. **Defining Genotype Frequencies**: According to the Hardy-Weinberg equation, the frequencies of the genotypes in a population can be represented as:
- **p** = frequency of the dominant allele (A)
- **q** = frequency of the recessive allele (a)

The relationship between p and q is given by:
- p + q = 1

4. **Homozygous Dominant Representation**: The homozygous dominant individuals (those with two dominant alleles) are represented by the genotype **AA**. The frequency of homozygous dominant individuals in the population can be calculated using the formula:
- Frequency of AA = p²

5. **Conclusion**: Therefore, in the Hardy-Weinberg equation, the homozygous dominant individuals in a population are represented by **p²**.

### Final Answer:
In the Hardy-Weinberg's equation, the homozygous dominant individuals in a population are represented by **p²**.

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