Augustus Cleveland: Augustus Cleveland was a British administrator who devised a ‘Policy of Pacification’ for the Paharias in Bhagalpur during the 1770s. He tried to establish peace with the Paharias by providing them a regular salary.
William Hodge: William Hodge was an artist, and was not associated with the British policy of pacification.
George Chinray: George Chinray was a British official, however, he is not associated with this policy.
Captain Cook: Captain Cook was a British explorer and not an administrator. Hence, he has no connection with the pacification of the paharias.
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 \(P,O,Q\).