The Hardy-Weinberg equilibrium is a theoretical concept in population genetics that describes the genetic variation in a population at equilibrium, assuming no evolutionary influences. The equilibrium occurs when allele frequencies remain constant from generation to generation. The five conditions required for Hardy-Weinberg equilibrium are:
1. No mutation.
2. No natural selection.
3. Random mating.
4. Large population size.
5. No gene flow (migration).

Effect of Natural Selection on Hardy-Weinberg equilibrium:
Natural selection is one of the key evolutionary forces that can disrupt Hardy-Weinberg equilibrium. It acts on individuals in a population by favoring those with advantageous traits, which leads to changes in allele frequencies over time. This is not in accordance with the assumption of no natural selection in Hardy-Weinberg equilibrium.
In a population where natural selection is acting:
- Alleles that provide a survival advantage increase in frequency over time.
- Alleles that reduce fitness decrease in frequency.
- This results in a change in genotype and allele frequencies, which causes the population to evolve, thereby deviating from Hardy-Weinberg equilibrium.
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 \(P,O,Q\).