Identify the character of Mahabharata with the help of following information:
• He was the son of Bheema.
• He belonged to Rakshasa clan from maternal side.
Ghatotkacha: Ghatotkacha was the son of Bhima and Hidimba, a Rakshasi, who was a member of a tribe that is often identified as having supernatural powers.
Duryodhana: Duryodhana was the eldest of the Kaurava princes, and not related to Bhima.
Abhimanyu: Abhimanyu was the son of Arjuna and Subhadra and was not from the rakshasa clan.
Bheeshma: Bheeshma was a prominent character of Mahabharata and is known for his vows of celibacy and serving as the commander of the Kaurava army. He had no connection with the Rakshasa clan.
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 \(P,O,Q\).