Given below are two statements:
Statement I: D-glucose pentaacetate reacts with 2,4-dinitrophenylhydrazine.
Statement II: Starch, on heating with concentrated sulfuric acid at 100°C and 2-3 atmosphere pressure, produces glucose.
In the light of the above statements, choose the correct answer from the options given below:
Step 1: Statement I is true because D-glucose pentaacetate reacts with 2,4-dinitrophenylhydrazine to form a yellow-orange precipitate.
Step 2: Statement II is false because starch does not directly produce glucose by heating with concentrated sulfuric acid at 100°C; starch typically undergoes hydrolysis under such conditions.
Final Conclusion: The correct answer is Option (3), Statement I is true but Statement II is false.
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:
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: