List-I | Industry | List-II | Waste Generated |
(A) | Steel Plants | (I) | Gypsum |
(B) | Thermal Power Plants | (II) | Fly ash |
(C) | Fertilizer industries | (III) | Slag |
(D) | Ppaer mills | (IV) | Bio-degradable Wastes |
The correct matches are:
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: