Ashokan inscriptions are a primary source for understanding the administration, policies, and ideology of Emperor Ashoka. These inscriptions, which include edicts engraved on pillars, rocks, and caves, were spread across the Indian subcontinent.
They highlight Ashoka’s governance principles, such as Dhamma (moral law), non-violence, religious tolerance, welfare measures, and concern for his subjects.
Ashoka used these inscriptions to communicate directly with people, indicating a form of centralized communication and public administration. They also provide insights into the bureaucratic setup and the role of officials like Rajukas and Yuktas.
Thus, these inscriptions are invaluable to historians for reconstructing Ashoka’s rule and Mauryan administration.
Look at the image given below and identify the historical artefact:
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 \(P,O,Q\).