Throughout the whole story, the author uses all techniques to create ironic elements in the story. The ironic factor is seen as a superstitious belief in human life. Though the characters appear realistic, the author has hidden the ironic element of the story's mysterious side. The main ironic feature in the story is that of an appearance of a lady and superstitious beliefs. Another ironic aspect is that the last paragraph of the story highlights the discussion between the Portuguese ambassador and the author, which is a contradictory conversation. Even though the author knew the answer very well to what the lady does, he still raised the same question to the ambassador, which seems ironic.
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 \(P,O,Q\).