
Match List-I with List-II: List-I
The correct increasing order of stability of the complexes based on \( \Delta \) value is:
| List I (Molecule) | List II (Number and types of bond/s between two carbon atoms) | ||
| A. | ethane | I. | one σ-bond and two π-bonds | 
| B. | ethene | II. | two π-bonds | 
| C. | carbon molecule, C2 | III. | one σ-bonds | 
| D. | ethyne | IV. | one σ-bond and one π-bond | 

Let $f: [0, \infty) \to \mathbb{R}$ be a differentiable function such that $f(x) = 1 - 2x + \int_0^x e^{x-t} f(t) \, dt$ for all $x \in [0, \infty)$. Then the area of the region bounded by $y = f(x)$ and the coordinate axes is
Quantitative analysis of an organic compound (X) shows the following percentage composition. 
C: 14.5% 
Cl: 64.46% 
H: 1.8% 
Empirical formula mass of the compound (X) is:
If $\lim_{x \to 1} \frac{(x-1)(6+\lambda \cos(x-1)) + \mu \sin(1-x)}{(x-1)^3} = -1$, where $\lambda, \mu \in \mathbb{R}$, then $\lambda + \mu$ is equal to
Organic Compounds can be classified into:
The classification of organic compounds is based on structure such as: