Match List - I with List - II: 
Choose the correct answer from the given below options
- Structure (A) corresponds to a molecule with a methyl group attached to a pentene, and the correct IUPAC name is 4-methylpent-1-ene, so (A)-(I).
- Structure (B) is a dimethyl-substituted heptane, and the correct IUPAC name is 4, 4-dimethylheptane, so (B)-(III).
- Structure (C) is a compound with an ethyl group and a methyl group attached to a heptane chain, and the correct name is 3-ethyl-5-methylheptane, so (C)-(II).
- Structure (D) is a compound with a methyl group and a pentadiene chain, and the correct name is 2-methyl-1,3-pentadiene, so (D)-(IV).
Thus, the correct matching is (A)-(I), (B)-(III), (C)-(II), (D)-(IV).
The IUPAC name of the following compound is:

Which of the following is the correct IUPAC name of the given organic compound (X)?
The structure of compound $ X $ is as follows:
$ \text{H}_3\text{C} - \text{CH}_3 - \text{CH} = \text{CH} - \text{H} - \text{Br} $
If \( z \) is a complex number and \( k \in \mathbb{R} \), such that \( |z| = 1 \), \[ \frac{2 + k^2 z}{k + \overline{z}} = kz, \] then the maximum distance from \( k + i k^2 \) to the circle \( |z - (1 + 2i)| = 1 \) is: