The steps in artificial hybridisation are:
Emasculation: Removal of stamens from the bisexual flowers of the female parent to prevent self-pollination.
Bagging: Covering the emasculated flower with a bag to prevent contamination from unwanted pollen.
Pollination: Dusting pollen from the male parent onto the stigma of the female parent.
Re-bagging: Re-covering the flower to ensure fertilization occurs without external interference.
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 \(P,O,Q\).