The discovery of the Harappan civilization was a result of significant efforts by several archaeologists:
Daya Ram Sahni (1921): Conducted the first excavations at Harappa, uncovering the remains of a highly developed urban culture. He unearthed seals, pottery, and structural remains.
R.D. Banerji (1922): Discovered Mohenjo-Daro, another major Harappan site, and identified its advanced urban planning and drainage systems.
John Marshall: As the Director-General of the Archaeological Survey of India, Marshall recognized the significance of these findings and formally announced the discovery of the Indus Valley Civilization in 1924.
Mortimer Wheeler: Used the stratigraphy method to analyze Harappan layers, contributing to a better understanding of the civilization’s chronology and urban structures.
E.J.H. Mackay: Conducted detailed excavations at Harappa and Mohenjo-Daro, revealing insights into daily life, trade, and craftsmanship.
These archaeologists collectively shed light on one of the oldest civilizations, highlighting its urban sophistication and cultural significance.
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 \(P,O,Q\).