Amino acids show amphoteric behaviour, why?
Amino acids exhibit amphoteric behavior because they contain both acidic (carboxyl group, \(-COOH\)) and basic (amino group, \(-NH_2\)) functional groups in the same molecule. This dual nature allows them to act as both acids and bases depending on the pH of their environment.
Key reasons for amphoteric behavior:
Example with Glycine:
\[ H_2N-CH_2-COOH \rightleftharpoons ^+H_3N-CH_2-COO^- \]
Factors influencing amphoteric nature:
Biological significance:
This amphoteric property is crucial for:
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 \(P,O,Q\).