



The bond line formula for a compound is a simplified representation of its molecular structure without showing individual hydrogen atoms attached to carbon atoms. It provides a clearer depiction of the backbone structure made by carbon atoms and any functional groups or substituents.
The given compound is HOCH(CN)2, which can be expanded to show:
To determine the correct bond line structure:
The correct bond line structure will show a central carbon atom with lines representing the bonds to the hydroxyl and cyano groups. Let's examine the options:
Therefore, the correct bond line formula is as represented in Fig 4.
This formula accurately depicts the structure as:
Hence, the answer is correctly represented by Fig 4.
The given compound is \( \text{HOCH(CN)}_2 \). This indicates a carbon atom bonded to a hydroxyl group (\(-\text{OH}\)) and two cyano groups (\(-\text{CN}\)).
The correct bond-line formula for this structure is represented by option (4).
Explanation: The central carbon atom is bonded to one hydroxyl group (\(-\text{OH}\)) and two cyano groups (\(-\text{CN}\)). This structure matches the representation of option (4), showing two cyano groups attached to the central carbon atom along with the hydroxyl group.
Match List-I with List-II: List-I
The correct increasing order of stability of the complexes based on \( \Delta \) value is:

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.
The formal charges on the atoms marked as (1) to (4) in the Lewis representation of \( \mathrm{HNO_3} \) molecule respectively are 