LIST I | LIST II | ||
A | Chlorophyll | 1 | \(Na _2 CO _3\) |
B | Soda ash | 2 | \(CaSO _4\) |
C | Dentistry, Ornamental work | 3 | \(Mg ^{2+}\) |
D | Used in white washing | 4 | \(Ca ( OH )_2\) |
To correctly match List I with List II, let's analyze each item:
A. Chlorophyll: - Chlorophyll contains magnesium (\( \text{Mg}^{2+} \)) as its central metal ion. - Match: A – III (\( \text{Mg}^{2+} \)).
B. Soda ash: - Soda ash is chemically sodium carbonate (\( \text{Na}_2\text{CO}_3 \)). - Match: B – I (\( \text{Na}_2\text{CO}_3 \)).
C. Dentistry, Ornamental work: - Calcium sulfate (\( \text{CaSO}_4 \)) is used in dentistry and ornamental work, especially in plaster form. - Match: C – II (\( \text{CaSO}_4 \)).
D. Used in white washing: - Slaked lime (\( \text{Ca(OH)}_2 \)) is commonly used in white washing. - Match: D – IV \(\text{Ca}(OH)_2\)
Conclusion: The correct matches are: \[ \text{A – III, B – I, C – II, D – IV} \]
Given below are two statements.
In the light of the above statements, choose the correct answer from the options given below:
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: