Reaching Raj Mahal Hills: Santhals began to reach Raj Mahal hills around 1780s, driven by scarcity of land and a need for better life.
Zamindar's Hired Them: The Zamindars hired them for reclaiming the land and expanding the cultivation, which is one of the reasons why they were first drawn to the region.
British Invite to Settle: The British officials also invited the Santhals to come and settle in the jungle mahals. This move was aimed at bringing the forests under cultivation.
Failing to Subdue Paharias: Failing to subdue the Paharias, the British also turned to the Santhals.
Ideal Settlers: The Santhals were considered as the ideal settlers, who were known for clearing forests and ploughing the land with vigor. This made them very sought after by the British and the Zamindars.
Damin-i-Koh: By 1832, a large area of land was demarcated as Damin-i-koh, which was declared as the land of Santhals in the foothills of Raj Mahals.
Other relevant point: Any other relevant point from the chapter.
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 \(P,O,Q\).