Two statements are given below as Assertion and Reason (R). Read them carefully and choose the correct option.
Assertion : Harappa was a well-planned city.
Reason (R): It had a well-planned drainage system.
Harappa was indeed a well-planned city, characterized by its advanced urban infrastructure. It featured a well-planned drainage system, one of the most sophisticated of its time. The layout of the city, including its grid-like street pattern and the drainage system, supports the assertion that it was a well-planned city.
Therefore, the reasoning (R) correctly explains why Harappa was considered well-planned.
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 \(P,O,Q\).