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NCERT Exemplar · Q16

Q.Two genes 'A' and 'B' are linked. In a dihybrid cross involving these two genes, the F1 heterozygote is crossed with homozygous recessive parental type (aa bb). What would be the ratio of offspring in the next generation?

(a) 1 : 1 : 1 : 1
(b) 9 : 3 : 3 : 1
(c) 3 : 1
(d) 1 : 1
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When two genes are linked and an F1 heterozygote is test-crossed with a homozygous recessive parent, the offspring ratio will be 1:1, reflecting the inheritance of parental combinations.

In classical Mendelian genetics, a dihybrid cross involves studying the inheritance of two different traits simultaneously. When Mendel performed such crosses, he observed that the inheritance of one trait did not influence the inheritance of another. This principle is known as the Law of Independent Assortment. For example, if we consider two genes, 'A' and 'B', located on different chromosomes, an F1 heterozygote (AaBb) would produce four types of gametes (AB, Ab, aB, ab) in equal proportions. When this F1 heterozygote is crossed with a homozygous recessive parental type (aabb) – a cross known as a test cross – the expected offspring ratio is 1:1:1:1, representing the four possible phenotypic combinations (AaBb, Aabb, aaBb, aabb).

However, the scenario changes significantly when genes are 'linked'. Linkage refers to the phenomenon where two or more genes are located on the same chromosome and are therefore inherited together. This concept was discovered by T.H. Morgan through his experiments on fruit flies (Drosophila melanogaster). He observed that when genes were linked, they did not assort independently, and the parental combinations of traits appeared much more frequently in the offspring than the non-parental or recombinant combinations.

The degree of linkage can vary. If genes are very close together on the chromosome, they are strongly linked, meaning they are almost always inherited together. If they are farther apart, the chances of crossing over (recombination) between them increase, leading to a higher proportion of recombinant offspring, though still typically less than parental types. The question states that genes 'A' and 'B' are linked, implying a strong tendency for co-inheritance.

In the given question, genes 'A' and 'B' are linked. We are performing a dihybrid test cross: an F1 heterozygote (AaBb) is crossed with a homozygous recessive parental type (aabb).

Note

A test cross is always performed by crossing an individual of unknown genotype (or a heterozygote, as in this case) with a homozygous recessive individual. This allows the direct observation of the gametes produced by the unknown genotype, as the recessive parent only contributes recessive alleles.

Let's consider the gametes produced by the F1 heterozygote (AaBb) when genes A and B are linked. If we assume the F1 heterozygote inherited the dominant alleles (A and B) together on one chromosome and the recessive alleles (a and b) together on the homologous chromosome (i.e., the parental configuration was AB/AB x ab/ab), then the F1 individual has the genotype AB/ab.

If there is complete linkage, meaning no crossing over occurs between genes A and B, then the F1 heterozygote (AaBb) will produce only two types of gametes: AB and ab. These are the parental gamete types. No recombinant gametes (Ab or aB) would be formed. …

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