Write the reactions involved when D-glucose is treated with the following reagents: (a) HCN (b) Br\(_2\) water
When D-glucose is treated with hydrogen cyanide (HCN), it undergoes cyanohydrin formation. The reaction occurs at the aldehyde group, resulting in the formation of D-glucose cyanohydrin.
\[ \text{D-glucose} + HCN \rightarrow \text{D-glucose cyanohydrin} \]
When D-glucose is treated with bromine water (a mild oxidizing agent), it specifically oxidizes the aldehyde group at C-1 to a carboxylic acid, producing gluconic acid.
\[ \text{D-glucose} + Br_2\text{(water)} \rightarrow \text{Gluconic acid} \]
These reactions demonstrate the aldehydic nature of glucose and its ability to undergo addition and oxidation reactions.
Consider the following compounds: K$_2$O$_2$, H$_2$O$_2$, and H$_2$SO$_4$
The oxidation states of the underlined elements in them are, respectively:
Write the structures of A, B, and C in the following sequence of reactions:
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).