According to United Nations projections, by the year 2050, approximately two-thirds of the world’s population is expected to live in urban areas due to ongoing urbanization. This growth is expected as people move from rural to urban areas in search of better opportunities.
- Option (A) "One fourth" is incorrect as the estimate is much higher.
- Option (B) "Half" is also incorrect because the estimate is above 50%.
- Option (C) "Two third" is correct, as it reflects the projected urban population.
- Option (D) "Three fourth" is an overestimate, as the expected percentage is around two-thirds.
Thus, the correct answer is (C) Two third.
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 \(P,O,Q\).