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Class 12 Biology

Principles of Inheritance & Variation

Mendel's laws, dominance patterns, dihybrid cross, linkage, polygenic inheritance, pleiotropy, sex determination, mutation and genetic disorders — with Punnett squares, SVG diagrams, MCQs, A-R and PYQs.

8NCERT Sections
12MCQs
6Assertion–Reason
5PYQs
Section 01

Mendel's Laws of Inheritance

4.0Genetics — Basic Terms

Definitions

Genetics deals with inheritance and variation. Inheritance is the process by which characters pass from parent to progeny (basis of heredity). Variation is the degree by which progeny differ from their parents.

Humans knew from about 8000–1000 B.C. that sexual reproduction is a cause of variation and used it for selective breeding (e.g. Sahiwal cows of Punjab).

4.1Mendel's Experiments

  • Gregor Mendel worked on garden pea for seven years (1856–1863); published in 1865.
  • First to apply statistical analysis and mathematical logic to biology; used a large sample size.
  • Selected 14 true-breeding lines (7 pairs of contrasting traits). A true-breeding line shows stable trait inheritance after continuous self-pollination.
S.No. Character Dominant / Recessive
1 Stem height Tall / Dwarf
2 Flower colour Violet / White
3 Flower position Axial / Terminal
4 Pod shape Inflated / Constricted
5 Pod colour Green / Yellow
6 Seed shape Round / Wrinkled
7 Seed colour Yellow / Green
Section 02

Inheritance of One Gene

4.2Monohybrid Cross

  • Tall × Dwarf → F1: all tall. F1 selfed → F2: 3 tall : 1 dwarf. No blending.
  • Genes (factors) = units of inheritance. Alleles = slightly different forms of the same gene (T and t).
  • Genotype = genetic makeup (TT, Tt, tt); phenotype = observable trait (tall, dwarf).
  • Homozygous = identical alleles (TT, tt); heterozygous = dissimilar alleles (Tt, a monohybrid).
  • Use capital/small of the same letter (T/t, not T/d).
V1 · Monohybrid cross TT × tt and Punnett square P GENERATION TT · Tall tt · Dwarf × T t Gametes F₁: Tt — all Tall ⟲ self-pollination (F₁ × F₁) Phenotypic ratio 3 : 1 Genotypic ratio 1 TT : 2 Tt : 1 tt Punnett square (Tt × Tt) T t T t TT Tt Tt tt Green = Tall (TT, Tt) · Amber = Dwarf (tt) Gametes (T, t) are equally likely → ¼ : ½ : ¼
F₂ binomial: (½T + ½t)² = ¼ TT + ½ Tt + ¼ tt.

4.2.1Test Cross

Definition

Crossing an organism of dominant phenotype (unknown genotype) with the recessive parent to determine its genotype.

  • If TT × tt → all Tall (all Tt).
  • If Tt × tt → 1 Tall : 1 Dwarf (test cross ratio 1 : 1).

4.2.2Mendel's Laws (Monohybrid)

Law Statement
I. Dominance (i) Characters are controlled by discrete factors; (ii) factors occur in pairs; (iii) in a dissimilar pair one factor (dominant) masks the other (recessive). Explains F₁ expression and 3:1 in F₂.
II. Segregation Alleles do not blend; during gamete formation (meiosis) the two alleles of a pair separate so each gamete gets only one. Homozygous → one gamete type; heterozygous → two types in equal proportion. (Law of purity of gametes.)
Why is a gene recessive?

The unmodified allele makes a normal enzyme; the modified (recessive) allele makes a non-functional enzyme or none. The phenotype then depends on the functioning allele, which is dominant.

4.2.3Incomplete Dominance

F₁ is intermediate between parents. Example: snapdragon (Antirrhinum) flower colour — RR (red) × rr (white) → Rr pink; F₂ = 1 Red : 2 Pink : 1 White. Genotypic and phenotypic ratios are both 1:2:1.

V2 · Incomplete dominance in snapdragon P F₁ F₂ (1 : 2 : 1) × RR Red rr White Rr Pink RR Rr Rr rr Red Pink White R is not completely dominant over r → Rr is distinguishable from RR

4.2.4Co-dominance & Multiple Alleles — ABO Blood Groups

  • In co-dominance F₁ resembles both parents (both alleles express).
  • Gene I has three alleles: IA, IB, i — an example of multiple alleles (seen only in population; an individual has just two).
  • IA and IB make different sugar polymers on RBC surface; i makes no sugar. IA and IB are completely dominant over i, but co-dominant to each other.
Genotype Blood group
IAIA, IAi A
IBIB, IBi B
IAIB AB
ii O
Remember: 6 genotypes, 4 phenotypes. In pea seeds, the starch-grain gene (B, b) shows dominance for seed shape (round) but incomplete dominance for starch-grain size — dominance depends on the phenotype examined.
Section 03

Inheritance of Two Genes

4.3Dihybrid Cross & Independent Assortment

RRYY (round, yellow) × rryy (wrinkled, green) → F₁ RrYy (all round, yellow). F₁ selfed gives F₂ phenotypes in 9 : 3 : 3 : 1.

(3 Round : 1 Wrinkled) × (3 Yellow : 1 Green)

= 9 Round-Yellow : 3 Wrinkled-Yellow : 3 Round-Green : 1 Wrinkled-Green. F₂ has 9 genotypes (ratio 1:2:1:2:4:2:1:2:1) and 4 phenotypes.

V3 · Punnett square — RrYy × RrYy (16 squares)
Law of Independent Assortment (Mendel's II / III Law)

When two pairs of traits are combined in a hybrid, segregation of one pair is independent of the other pair. F₁ makes 4 gamete types — RY, Ry, rY, ry — each ¼.

4.3.2Chromosomal Theory of Inheritance

Why Mendel was ignored until 1900: poor communication; the idea of discrete, non-blending factors did not fit continuous variation; use of mathematics was new; no physical proof of what factors were.

  • 1900: de Vries, Correns and von Tschermak independently rediscovered Mendel's results.
  • Sutton and Boveri (1902) noted chromosomes behave like genes and proposed the chromosomal theory of inheritance.
  • Both chromosomes and genes occur in pairs, segregate at gamete formation, and independent pairs assort independently.
  • Verified experimentally by T. H. Morgan using Drosophila melanogaster — easily grown, ~2-week life cycle, many progeny, clear sexual differences, visible variations.

4.3.3Linkage & Recombination

  • Morgan crossed yellow-bodied, white-eyed females × brown-bodied, red-eyed males; F₂ deviated from 9:3:3:1.
  • Linkage = physical association of genes on the same chromosome (parental combinations stay high). Recombination = generation of non-parental combinations.
  • Tightly linked genes show low recombination; loosely linked show higher. yellow–white: 1.3%; white–miniature wing: 37.2%.
  • Alfred Sturtevant used recombination frequency as distance between genes and made the first genetic (linkage) maps; maps guide genome sequencing (Human Genome Project).
V4 · Recombination frequency = map distance y w m X chromosome of Drosophila (1% recombination ≈ 1 map unit) 1.3% — tightly linked 37.2% — loosely linked
y = yellow body, w = white eye, m = miniature wing.
Section 04

Polygenic Inheritance & Pleiotropy

4.4Polygenic Inheritance

  • Traits controlled by three or more genes with a gradient of expression — e.g. human height, skin colour. Environment also influences them.
  • Effect of each allele is additive. With genes A, B, C: AABBCC = darkest; aabbcc = lightest; 3 dominant + 3 recessive alleles = intermediate. Skin colour depends on the number of dominant alleles.

4.5Pleiotropy

A single gene shows multiple phenotypic effects (acts on metabolic pathways). Example: phenylketonuria (PKU) — mutation in the gene for phenylalanine hydroxylase causes mental retardation and reduced hair and skin pigmentation.

Section 05

Sex Determination

4.6Mechanisms of Sex Determination

Henking (1891) found a nuclear structure (X body) in 50% of sperms in insects — later called the X chromosome. Chromosomes that differ between sexes are sex chromosomes; the rest are autosomes.

Type Male Female Example
XO (male heterogamety) Autosomes + X (one X) Autosomes + XX Grasshopper
XY (male heterogamety) Autosomes + XY Autosomes + XX Humans, Drosophila
ZW (female heterogamety) ZZ ZW Birds
Haplodiploid Haploid (16) Diploid (32) Honey bee

V5Sex Determination in Humans & Honey Bee

  • Humans have 22 pairs of autosomes + 1 pair of sex chromosomes. Female XX (homogametic); male XY (heterogametic).
  • Sperm: 50% X, 50% Y; ovum: always X. The sperm decides the sex of the child; each pregnancy has 50% chance of boy or girl. Blaming women for female children is a false notion.
  • Honey bee: fertilised egg → female (queen/worker, 2n = 32); unfertilised egg → male drone (n = 16) by parthenogenesis. Males make sperms by mitosis, have no father and no sons, but have a grandfather and grandsons.
Human XX–XY system and honey bee haplodiploidy Humans (XY type) Mother 44 + XX Father 44 + XY X X Y Egg (all X) Sperm 50% X : 50% Y XX · Girl 50% XY · Boy 50% Sperm decides the sex of the child Honey bee (haplodiploid) Queen (2n = 32) meiosis → egg (n = 16) + sperm unfertilised Female (2n = 32) queen / worker Male drone (n = 16) parthenogenesis Birds: female ZW, male ZZ — the egg (female) determines the sex of chicks
Section 06

Mutation

4.7Mutation & Variation

Definition

Mutation is an alteration in DNA sequence that changes the genotype and phenotype. With recombination, it is a source of variation.

  • Chromosomal aberrations: loss (deletion) or gain (insertion/duplication) of DNA segments — common in cancer cells.
  • Point mutation: change in a single base pair — e.g. sickle-cell anaemia.
  • Frame-shift mutation: deletion or insertion of base pairs.
  • Mutagens: physical/chemical agents that induce mutation, e.g. UV radiation.
Section 07

Genetic Disorders

4.8.1Pedigree Analysis

Analysis of a trait over several generations of a family, drawn as a family tree. It shows whether a trait is dominant or recessive, autosomal or sex-linked, since controlled crosses are not possible in humans.

V6 · Pedigree symbols and an autosomal recessive example Symbols Male Female Affected male Affected female Mating Parents → offspring I II carrier parents (Aa × Aa) Unaffected parents → affected child ⇒ trait is recessive

4.8.2Mendelian Disorders

Due to alteration in a single gene; follow Mendelian inheritance. Examples: haemophilia, cystic fibrosis, sickle-cell anaemia, colour blindness, phenylketonuria, thalassemia.

Disorder Inheritance Key facts
Colour blindness X-linked recessive Red-green discrimination fails; defective red/green cone genes on X. About 8% of males, 0.4% of females. Carrier mother → 50% sons affected.
Haemophilia X-linked recessive A protein in the clotting cascade is affected → non-stop bleeding. Carrier female transmits to sons; affected female is extremely rare. Queen Victoria was a carrier.
Sickle-cell anaemia Autosomal recessive Alleles HbA, HbS; only HbSHbS is diseased; HbAHbS is a carrier. Point mutation: Glu → Val at 6th position of β-globin. Two carriers → 50% chance of passing the gene.
Phenylketonuria Autosomal recessive Lack of phenylalanine hydroxylase; mental retardation (pleiotropy).

4.8.3Chromosomal Disorders

Caused by absence, excess or abnormal arrangement of chromosomes. Aneuploidy = gain/loss of one chromosome (failure of chromatid segregation) — trisomy or monosomy. Polyploidy = extra whole set(s) of chromosomes (failure of cytokinesis after telophase) — common in plants. Normal human cell: 46 (23 pairs; 22 autosomal + 1 sex pair).

Syndrome Cause Features
Down's Trisomy of chromosome 21 (47); first described by Langdon Down (1866) Short stature, small round head, furrowed tongue, partially open mouth, broad palm with characteristic crease; retarded physical, psychomotor and mental development.
Klinefelter's Extra X — 47, XXY Overall masculine, but gynaecomastia (breast development); sterile.
Turner's Loss of one X — 45, XO (females) Rudimentary ovaries, sterile, lack of secondary sexual characters, short stature.
Practice

📝 Solved Examples with Step Marking

📋 2 Marks

Q1. A diploid organism is heterozygous for 4 loci. How many types of gametes can it produce?

Principle 1 Mark

Each heterozygous locus gives 2 allele types, assorting independently: gamete types = 2n.

Calculation 1 Mark

n = 4 → 24 = 16.

16 types of gametes
📋 3 Marks

Q2. TtYy (tall, yellow) × Ttyy (tall, green). What proportion of offspring is (a) tall and green, (b) dwarf and green?

Separate the genes 1 Mark

Tt × Tt → ¾ tall : ¼ dwarf. Yy × yy → ½ yellow : ½ green.

(a) Tall and green 1 Mark

¾ × ½ = 3/8.

(b) Dwarf and green 1 Mark

¼ × ½ = 1/8.

(a) 3/8 (b) 1/8
📋 3 Marks

Q3. A child has blood group O. Father has group A, mother group B. Give the parents' genotypes and the possible genotypes of other children.

Parents' genotypes 1 Mark

Child is ii, so each parent gave one i. Father = IAi, mother = IBi.

Gametes 1 Mark

Father: IA, i. Mother: IB, i.

Offspring 1 Mark

IAIB (AB), IAi (A), IBi (B), ii (O) — each ¼.

Possible genotypes: IAIB, IAi, IBi, ii
Test Yourself

✍️ MCQ Practice

Score: 0 / 12
New Pattern

🎯 Assertion–Reason

(A) Both true, R explains A. (B) Both true, R does NOT explain A. (C) A true, R false. (D) A false, R true.

Score: 0 / 6
Exam Focus

📖 Important Board Questions

NCERT

Q. Mention the advantages of selecting pea plant for Mendel's experiments.

Answer 3 Marks

Many clear contrasting traits (7 pairs); easy to grow, short life cycle, many seeds per plant; bisexual flowers that normally self-pollinate, yet can be artificially cross-pollinated; true-breeding lines available.

NCERT

Q. Define and design a test cross.

Answer 3 Marks

Cross of an individual of dominant phenotype with the homozygous recessive parent. Tt × tt → ½ Tt (tall) : ½ tt (dwarf) = 1 : 1; TT × tt → all Tt (tall).

NCERT

Q. Differentiate between incomplete dominance and co-dominance with examples.

Answer 3 Marks

Incomplete dominance: F₁ is intermediate (snapdragon: Rr pink; F₂ 1:2:1). Co-dominance: F₁ shows both parental traits (ABO group: IAIB expresses both A and B sugars).

NCERT

Q. How is sex determined in human beings?

Answer 3 Marks

XY type: female 44 + XX, male 44 + XY. Sperms are 50% X and 50% Y; ova all X. Fertilisation by X-sperm → girl (XX); by Y-sperm → boy (XY). So the sperm determines the sex.

NCERT

Q. What is pedigree analysis? How is it useful?

Answer 2 Marks

Study of inheritance of a trait over several generations of a family using a family tree. It shows whether a trait is dominant/recessive and autosomal/sex-linked, and helps trace carriers of genetic disorders.