A wavefront is the surface of constant phase, or the locus of all points having the same phase of vibration. There are three main types of wavefronts:
When a plane wavefront passes through a convex lens, the wavefront gets refracted, and its shape changes. Here is how it behaves:
The diagram below illustrates the process:

The incident wavefront is straight and parallel to the axis, while after passing through the convex lens, the refracted wavefront converges towards the focal point of the lens.
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 \(P,O,Q\).