Student to attempt either option (A) or (B):
(A) Construct a pyramid of biomass starting with phytoplankton, label its three trophic levels. Is the pyramid upright or inverted? Justify your answer.
OR
(B) Draw a pyramid of number where a large population of insects feed upon a very big tree. The insects in turn, are eaten by small birds which in turn are fed upon by big birds.
Option (A):
Step 1: In an aquatic ecosystem, the biomass pyramid is usually inverted. The three trophic levels are:
1. Phytoplankton (producers)
2. Zooplankton (primary consumers)
3. Small fishes (secondary consumers)
Step 2: It is inverted because the biomass of phytoplankton is less at any given time, yet they reproduce rapidly to support higher trophic levels.
OR
Option (B):
Step 1: In a pyramid of numbers with one large tree at the base, it supports many insects.
Step 2: These insects are eaten by fewer small birds, which are in turn consumed by even fewer big birds.
Step 3: This results in a spindle-shaped or inverted pyramid of numbers.
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 \(P,O,Q\).