Counting up to twelve takes very short time. Keeping still for this brief interval of time gives us a momentary pause to introspect and review the course of action. It is generally observed that most of the ills and troubles of the world are caused by our rush or hurry. The rush refers to competition that leads to all kinds of intolerance. Intolerance gives birth to anger and violence. Keeping quiet and still will give us necessary respite from this rush and ensure peace.
What I want should not be confused with total inactivity.
Life is what it is about;
I want no truck with death.
If we were not so single-minded about keeping our lives moving.
(Keeping Quiet)
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 \(P,O,Q\).