Defeat of Sultan of Bijapur – Start of Aravidu dynasty
Founding of Nagalapuram – Township named after King’s mother
Battle of Talikota – Expansion of Hampi over Orissa
Decline of Vijayanagara – Increased military control of Mackenzie
(1) On the given political outline map of India, locate and label the following with appropriate symbols:
(2) On the same outline map of India, two places have been marked as A and B, the centres of the Indian National Movement. Identify them and write their correct names on the lines drawn near them.
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 \(P,O,Q\).