List I | List II | ||
A | K | I | Thermonuclear reactions |
B | KCl | II | Fertilizer |
C | KOH | III | Sodium potassium pump |
D | Li | IV | Absorbent of CO2 |
List-I (Polymer) | List-II (Used in making) |
---|---|
Polymer 1 | Application 1 |
Polymer 2 | Application 2 |
Polymer 3 | Application 3 |
Polymer 4 | Application 4 |
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is: