State and elaborate whether the following statements are true or false, with valid arguments:
[i.] In the recent past, the Government of India has taken crucial steps, like Jan-Dhan Yojana, for efficient allocation of financial resources.
[ii.] Worker–population ratio is an indicator used for analyzing the employment situation in a nation.
[i.] True: Initiatives like Jan-Dhan Yojana ensure financial inclusion by enabling access to banking services for unbanked sections of society, improving financial resource allocation.
[ii.] True: Worker–population ratio indicates the proportion of the working-age population engaged in productive employment, crucial for assessing labor market conditions.
List-I | List-II | ||
|---|---|---|---|
| A | Money supply is exogenously given. | I | Post-Keynesian school |
| B | Money supply is demand driven and credit led. | II | Say’s law |
| C | Rational expectation. | III | Monetarism |
| D | Supply creates its own demand | IV | Neo-classical school |
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 \(P,O,Q\).