What does the following equation represent? Explain $p^{2} + 2 p q + q^{2} = 1$

Open in App

Solution

The given equation represents the gene frequency of the total population according to Hardy–Weinberg law. In this equation, suppose a gene has two alleles A and a and p is the frequency of occurrence of the dominant allele A and q is the frequency of occurrence of the recessive allele a in the parental generation. Then according to the equation,
p $^{2}$ + 2pq + q $^{2}$ = 1, where
p $^{2}$ = frequency of occurrence of individuals with homozygous dominant alleles (AA)
2pq = frequency of occurrence of heterozygous individuals (Aa)
q $^{2}$ = frequency of occurrence of individuals with homozygous recessive alleles (aa).
The sum total of all allelic frequencies is 1.

Suggest Corrections

Similar questions

p^{2} + 2 p q + q^{2} = 1

p^{2} + q^{2} + 2 p q

(p + q)² = p² + 2pq + q² = 1 represents an equation used in:

What does $p^{2}$ in the below mentioned Hardy - Weinberg equation indicate?

${(p + q)}^{2} = p^{2} + 2 pq + q^{2}$

p^{2} + 2 p q + q^{2} = 1

Join BYJU'S Learning Program