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What does the following equation represent? Explain. - Biology

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प्रश्न

What does the following equation represent? Explain.

p2 + 2pq + q2 = 1

उत्तर

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 dominant allele A and q is the frequency of occurrence of recessive allele a in the parental generation.
Then according to the equation,

p2+2pq+q2=1

where p2 = frequency of occurrence of individuals with homozygous dominant alleles (AA)

2pq = frequency of occurrence of heterozygous individuals (Aa)

q2 = frequency of occurrence of individuals with homozygous recessive alleles (aa)

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