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 \(P,O,Q\).
If two genes were present on the same chromosome, the chances of getting a parental combination were much higher in the next generation in comparison to the non-parental combination. This physical association of genes was termed ‘linkage’. The description of the non-parental gene combinations in a dihybrid cross is termed ‘genetic recombination'. After the discovery of linked genes, the frequency of linked genes also influenced the appearance of traits in the next generation.
Read More: Chromosomal Theory of Inheritance