Question

The genotypic ratio of monohybrid cross, 1/4 TT + 1/2Tt + 1/4 tt is mathematically condensable to the form of binomial expression:

• A. $(1/2T+1/2t{)}^2$
• B. $(1/4T+1/4t{)}^2$
• C. $(1/4T+1/2t{)}^2$
• D. $(1/2T+1/4t{)}^2$

Answer 1

The correct option is A

$(1/2T+1/2t{)}^2$

The genotypic ratio of monohybrid cross, 1/4 TT + 1/2Tt + 1/4 tt is mathematically condensable to the form of binomial expression, $(ax+by{)}^2$
Here,
a=frequency of gametes bearing dominant allele (½)

b=frequency of gametes bearing recessive allele (½)

x=Dominant allele (T)

y=Recessive allele(t)

The expression is expanded as given below :
$(1/2T+1/2t{)}^2$
= (1/2T + 1/2t) x (1/2T + 1/2t)
= 1/4TT+ 1/2Tt + 1/4tt

Therefore, 1/4 TT + 1/2Tt + 1/4 tt is binomial expansion of $(1/2T+1/2t{)}^2$.