Study the table given below:
Select the option where contraceptive/contraceptive method are correctly matched with their mode of action.
A – The pill: Inhibits ovulation (III).
B – Condom: Prevents sperm from reaching the cervix (I).
C – Vasectomy: Semen contains no sperm after the vas deferens is cut or tied (IV).
D – Copper-T: Prevents implantation of the fertilized egg (II).
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 \(P,O,Q\).