(A) Establishment of the Gajapati Kingdom of Orissa: The Gajapati Kingdom of Orissa was indeed a contemporary power of the Vijayanagara Empire. They were often in conflict with the Vijayanagara rulers, and at one time captured a large part of the kingdom.
(B) Establishment of the Sultanates of Malwa: The Sultanates of Malwa were also a contemporary power in the north of the Vijayanagara Empire. They were often in conflict with their neighbors.
(C) Emergence of Sultanates of Bijapur: The Sultanates of Bijapur was one of the Deccan Sultanates that emerged in the region surrounding Vijayanagara after the decline of Bahmani sultanate. They were a major power in the region during the period.
(D) Rise of the Chalukyas in Karnataka: The Chalukyas of Karnataka were not contemporaries of the Vijayanagara Empire, as the Chalukya dynasty ruled much earlier, between the 6th and 12th centuries CE.
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 \(P,O,Q\).