(a) TTWW
(b) TTww
(c) TtWW
(d) TtWw
Theory Required to Solve
- Trait and Allele: Each character (height, flower colour) is controlled by a pair of alleles.
- Dominance: Dominant allele expresses itself in heterozygous condition (T = tall, W = violet).
- Recessive Trait: Expressed only when both alleles are recessive (tt = short, ww = white).
- Law of Segregation: Alleles separate during gamete formation and recombine during fertilization.
- Dihybrid Cross Logic: When two traits are involved, each trait is inherited independently.
Solution Roadmap
- Identify dominant and recessive traits from given observations.
- Use offspring phenotype to deduce genotype of parents.
- Analyze height trait separately.
- Analyze flower colour trait separately.
- Combine both to get final genotype.
Step-by-Step Solution
Step 1: Identify dominance
All progeny have violet flowers ⇒ Violet colour is dominant (W) over white (w).
Step 2: Analyze flower colour inheritance
Since one parent is white (ww), and all offspring are violet, the other parent must supply dominant allele W in every case.
This is possible only if tall parent has genotype: \[ Ww \text{ or } WW \]
Step 3: Analyze height inheritance
Short parent genotype = tt
Almost half offspring are short ⇒ ratio ≈ 1:1
This occurs only when: \[ Tt \times tt \]
Gametes from tall parent: \[ T, t \]
Offspring: \[ Tt \; (\text{tall}), \quad tt \; (\text{short}) \]
Step 4: Combine both traits
Height genotype of tall parent = Tt
Flower colour must include dominant W but may carry w ⇒ Ww
Therefore, genotype of tall parent: \[ TtWw \]
Step 5: Match with options
Correct answer is:
(d) TtWw
Significance for Exams
- CBSE Board Exams: Frequently asked to test understanding of dominance and genotype deduction.
- Assertion-Reason & MCQs: Helps in predicting genotype from phenotype ratios.
- Competitive Exams (NEET, Olympiads): Builds foundation for dihybrid cross and probability-based genetics.
- Conceptual Clarity: Strengthens linkage between phenotype ratios and genetic constitution.