Analysis of Statement 1: Statement 1 is false. According to the law of demand, there exists an inverse relationship between the price of foreign exchange and its demand. That is, as the price (or exchange rate) of foreign currency increases, its demand generally falls, assuming other factors remain constant. For example, if the US Dollar becomes more expensive in terms of Indian Rupees, Indian consumers and importers will demand less of it.
Analysis of Statement 2: Statement 2 is true. The foreign exchange rate reflects a country’s relative purchasing power in international markets. A stronger domestic currency (lower exchange rate per foreign unit) implies greater purchasing power abroad, while a weaker domestic currency means lower purchasing power. Therefore, the exchange rate serves as a signal of how much goods and services a nation can afford to buy from other countries.
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 \(P,O,Q\).