Board Formulas

Genetics and Evolution

Mendelism, chromosomal theory, linkage, sex determination, evolution — Maharashtra HSC Biology Ch 3 & 4

📐 11 formulas✏️ 3 examples🎯 5 practice⚖️ 6 marks🏫 Maharashtra State Board📚 Class 12✓ 2025–26 syllabus
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Board Exam Tips

  • Mendel's laws (dominance, segregation, independent assortment) with cross diagrams (dihybrid 9:3:3:1) is a Maharashtra HSC 4-marker every year.
  • Pedigree analysis with a family tree diagram is a HOTS 3-marker in Balbharati.
  • Sex determination — XY (mammal), XO (grasshopper), ZW (bird), ZO (moth) — 2-marker classification question.
  • Linkage and crossing over — draw diagrams of both parental and recombinant types; state chromosomal theory of inheritance.
  • Hardy–Weinberg equilibrium: p² + 2pq + q² = 1 and conditions for equilibrium — 3-marker.

📐 Formulas(11)

1

Monohybrid Cross Ratio★ Board fav

2

Dihybrid Cross Ratio★ Board fav

3

Test Cross★ Board fav

4

Incomplete Dominance

5

Codominance

6

Multiple Alleles — ABO Blood Group★ Board fav

7

Chromosomal Sex Determination★ Board fav

8

Sex-Linked Inheritance

9

Hardy–Weinberg Equation★ Board fav

10

Linkage Frequency

11

Pleiotropy

✏️ Solved Examples

1Solved Exampleeasy3 steps

In pea plants, tall (T) is dominant over dwarf (t). Predict the genotypic and phenotypic ratios in the F₂ generation of a cross Tt × Tt.

1

Punnett square of Tt × Tt.

2Solved Exampleboard4 steps

In a population, 16% of individuals have blood type O (i i genotype). Assuming Hardy–Weinberg equilibrium, calculate frequencies of alleles I^A, I^B, i, if I^A frequency = 0.5, I^B = 0.1.

1

Given: i i homozygotes = 16% = 0.16.

3Solved ExampleHOTS4 steps

In humans, colour blindness is X-linked recessive. A normal woman whose father was colour-blind marries a normal man. What is the probability that (i) her sons will be colour-blind, (ii) her daughters will be colour-blind?

1

Her father was colour-blind (X^c Y), so mother must be a carrier: X^C X^c.

⚠️ Traps & Common Mistakes

⚠️Common Mistakes6
  • 1

    Confusing genotype with phenotype ratio in Mendel's cross

    Genotype 1:2:1; Phenotype 3:1 (for complete dominance) in Aa × Aa.

  • 2

    Assuming Hardy-Weinberg is always valid

    Requires no mutation, no selection, no gene flow, random mating, large population. State conditions.

  • 3

    Writing X-linked traits as autosomal in pedigree

    X-linked recessive: skips generations, affects males more; expressed in females only if both X carry allele.

  • 4

    Confusing codominance with incomplete dominance

    Codominance: both alleles fully expressed (AB blood). Incomplete dominance: intermediate phenotype (pink flower).

  • 5

    Assuming linkage always gives 1:1:1:1 ratio

    Linked genes give parental combinations in higher frequency. Only recombinants show independent-assortment ratio.

  • 6

    Writing 'test cross ratio 3:1'

    Test cross (heterozygote × recessive) gives 1:1 phenotypic ratio, NOT 3:1.

🎯 Practice Yourself

🎯Practice Yourself5 questions
  1. Q1

    State Mendel's law of independent assortment.

  2. Q2

    In a dihybrid cross AaBb × AaBb, what fraction of offspring is aabb?

  3. Q3

    Define pleiotropy with example.

  4. Q4

    A woman has blood group A (I^A i) and her husband has blood group B (I^B i). What blood groups can their children have?

  5. Q5

    State the chromosomal theory of inheritance.

📝 Notes

Genetics and Evolution — Maharashtra HSC Overview

Chapters 3 and 4 of the Balbharati Class 12 Biology textbook cover Mendelian and non-Mendelian inheritance, chromosomal theory, sex determination, pedigree analysis, and (in Ch 4) evolution.

Maharashtra syllabus specifics

  • Mendel's laws with cross diagrams (monohybrid, dihybrid, test cross) — always asked with detailed Punnett squares.
  • Non-Mendelian inheritance — incomplete dominance, codominance, multiple alleles (ABO), polygenic (skin colour) — Balbharati covers all four.
  • Sex determination in different organisms (XX-XY, XX-XO, ZW-ZZ, ZO-ZZ) — 2-marker classification.
  • Pedigree analysis for autosomal and X-linked traits — Maharashtra-specific.
  • Hardy–Weinberg equilibrium with its conditions is asked in evolution chapter.
  • Chromosomal disorders — Down (trisomy 21), Turner (XO), Klinefelter (XXY) — 2-marker theory.

Strategy

  • Draw a clear Punnett square for every cross problem.
  • For pedigree, use standard symbols (square = male, circle = female, filled = affected).
  • State Mendel's laws explicitly in theory answers; do not paraphrase.
  • Distinguish between codominance (AB) and incomplete dominance (pink) with named examples.
  • Learn Hardy-Weinberg conditions as a list — HSC asks them as a 2-marker.

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