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} $
Let one focus of the hyperbola \( H : \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1 \) be at \( (\sqrt{10}, 0) \) and the corresponding directrix be \( x = \dfrac{9}{\sqrt{10}} \). If \( e \) and \( l \) respectively are the eccentricity and the length of the latus rectum of \( H \), then \( 9 \left(e^2 + l \right) \) is equal to:
