The exine is the outermost layer of the pollen grain. It is highly durable and helps protect the genetic material inside. The composition of the exine is:
The intine is the inner layer of the pollen grain, located beneath the exine. The composition of the intine is:
| List A | List B |
|---|---|
| A) Stigma | II) Tip of the style |
| B) Seat of ovules | III) Placenta |
| C) Basal part of Gynoecium | IV) Ovary |
| D) Elongated tube | I) Style |
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 \(P,O,Q\).