The lines that refer to magical elements are:
"Through caverns measureless to man/ Down to a sunless sea." Again, the lines, "Where blossomed many an incense-bearing tree", create an intense magical world. These lines transform the everyday world into happiness.
"But oh! That deep romantic chasm which/ slanted" depicts the world's image is some charm or spell cast by some unknown power.
The dome is innately beautiful and captivates the reader with its magnificent charm, which describes most beautifully "It was a miracle of rare device, / A sunny pleasure-dome with caves of ice."
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 \(P,O,Q\).