Find the statements
(i) `F_(1)` progeny is first hybrid generation and progeny resembles either of parents
(ii) `F_(2)` progeny is a resultant hybrid generation of cross pollination among `F_(1)` progeny and the progeny shows both dwarf and tall plants
(iii) `F_(2)` progeny is second hybrid generations produced by selfing `F_(1)` hybrides and progeny contains both dwarf and tall plants
(iv) Proportion of probability of plants that are dwarf is 1/4 of `F_(2)` plants while `3/4` of `F_(2)` plants are tall

Options

A. `i,ii,iii,iv`
B. `i,iii,iv`
C. i,ii,iv
D. iii,iv

Answer

To solve the question, we need to evaluate each of the given statements about the F1 and F2 progeny in the context of Mendelian genetics.

### Step-by-Step Solution:

1. **Evaluate Statement (i):**
- **Statement:** "F1 progeny is first hybrid generation and progeny resembles either of the parents."
- **Analysis:** The F1 generation is indeed the first hybrid generation resulting from the cross of two purebred parents (e.g., tall and dwarf plants). In Mendel's experiments, the F1 progeny typically exhibited the dominant trait (tallness) and resembled one of the parents.
- **Conclusion:** This statement is **correct**.

2. **Evaluate Statement (ii):**
- **Statement:** "F2 progeny is a resultant hybrid generation of cross pollination among F1 progeny and the progeny shows both dwarf and tall plants."
- **Analysis:** The F2 generation arises from the self-pollination of F1 hybrids, not cross-pollination. While it is true that the F2 generation shows both dwarf and tall plants, the description of how F2 is produced is incorrect.
- **Conclusion:** This statement is **incorrect**.

3. **Evaluate Statement (iii):**
- **Statement:** "F2 progeny is second hybrid generations produced by selfing F1 hybrids and progeny contains both dwarf and tall plants."
- **Analysis:** This statement accurately describes the F2 generation. It is produced by selfing (self-pollination) of the F1 hybrids, and it indeed contains both dwarf and tall plants.
- **Conclusion:** This statement is **correct**.

4. **Evaluate Statement (iv):**
- **Statement:** "Proportion of probability of plants that are dwarf is 1/4 of F2 plants while 3/4 of F2 plants are tall."
- **Analysis:** According to Mendelian genetics, when F1 hybrids are selfed, the phenotypic ratio in the F2 generation is 3:1 (3 tall plants to 1 dwarf plant). This means that 1/4 of the plants will be dwarf and 3/4 will be tall.
- **Conclusion:** This statement is **correct**.

### Final Evaluation:
- **Correct Statements:** (i), (iii), and (iv) are correct.
- **Incorrect Statement:** (ii) is incorrect.

### Summary:
The correct statements are (i), (iii), and (iv). The incorrect statement is (ii).