Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) National Rural Employment Programme | (IV) Generate gainful employment and productive assets in rural areas |
| (B) Million Wells Scheme | (I) Provide open irrigation wells for small and marginal farmers |
| (C) Indira Awas Yojana | (III) Aimed at providing housing for the poor |
| (D) Rural Landless Employment Guarantee Programme | (II) Aim to create community assets for strengthening source infrastructure |
Match List-I with List-II
| List-I (Initiative) | List-II (Explanation) |
|---|---|
| (A) Kudumbashree | (II) Women oriented community based poverty reduction program in Kerala |
| (B) Sansad Adarsh Gram Yojana | (I) Member of Parliament identifies and develops a village from his/her constituency |
| (C) Appiko | (III) A people's movement to protect forests in Karnataka |
| (D) TANWA | (IV) A project to train women in latest agricultural techniques |
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 \(P,O,Q\).