Which one of the following is a disaccharide? \[ \text{Glucose, Lactose, Amylose, Fructose} \]
A disaccharide is a carbohydrate composed of two monosaccharide units joined by a glycosidic bond. Let's explore the components involved in this category.
- Glucose and fructose are monosaccharides, meaning they are single sugar units. - Lactose is a disaccharide composed of two monosaccharides: glucose and galactose. - Amylose is a polysaccharide made up of multiple glucose units.
Thus, out of the given options, lactose is the disaccharide, formed by the glycosidic bond between glucose and galactose.

Correctly match the following Monosaccharides with their respective Epimers.

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 \(P,O,Q\).