In a p-n junction diode, when a reverse voltage is applied, very few charge carriers (electrons and holes) are available to conduct current. As a result, the reverse current is extremely small and is often referred to as the leakage current.
The reverse current is practically independent of the applied reverse voltage, except when the reverse voltage exceeds the breakdown voltage of the diode, at which point the reverse current increases dramatically (due to avalanche or Zener breakdown).
For most practical purposes, the reverse current remains almost constant and very small, even with increasing reverse voltage, as long as the applied voltage does not exceed the breakdown voltage.
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 \(P,O,Q\).