Explain the music form Tiruppugal
Tiruppugal is a significant form of devotional music composed by the saint-poet Arunagirinathar during the 15th century. It is dedicated primarily to Lord Muruga (also known as Kartikeya), the Hindu god of war and wisdom. The term Tiruppugal literally means “holy praise” or “sacred song.”
Key characteristics of Tiruppugal are:
Overall, Tiruppugal represents a synthesis of devotional fervor, poetic richness, and musical intricacy, making it a treasured part of South Indian classical and devotional traditions.
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 \(P,O,Q\).