Read the following statements carefully:
Statement 1: Economic territory and political frontier of a nation are one and the same thing.
Statement 2: American Embassy in India is a part of the economic territory of India.
In the light of the given statements, choose the correct alternative from the following:
Statement 1: This is false because the economic territory of a country includes not only its political frontier but also excludes foreign diplomatic zones within its borders.
Statement 2: This is false because the American Embassy in India is considered part of the economic territory of the United States, not India.
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 \(P,O,Q\).