Let \( f : (0, \infty) \to \mathbb{R} \) be a twice differentiable function. If for some \( a \neq 0 \), } \[ \int_0^a f(x) \, dx = f(a), \quad f(1) = 1, \quad f(16) = \frac{1}{8}, \quad \text{then } 16 - f^{-1}\left( \frac{1}{16} \right) \text{ is equal to:}\]
| List-I (Principle of Extension) | List-II (Description) |
|---|---|
| A. Principle of democratic approach | I. Extension helps people to help themselves. Good extension work is directed towards assisting people to work out their own problems, rather than giving them ready-made solutions |
| B. The grassroots principle of organization | II. People, groups and their conditions differ from place to place. Therefore, extension programmes should be flexible, so that necessary changes can be made whenever needed to meet varying conditions |
| C. Principle of adaptability | III. Participation of people in extension activities is voluntary and development interventions are carried out based on the perceived needs of the people |
| D. Principle of participation | IV. Any development programme should fit in with the local conditions |