Which of the following statements are correct about the IS curve?
(A) It shows the combination of the interest rate and the level of income such that the money market is in equilibrium.
(B) It is negatively sloped.
(C) The smaller the multiplier and the more sensitive investment spending is to changes in the interest rate, the steeper the IS curve.
(D) An increase in government purchases shifts the IS curve to the right.
Choose the correct answer from the options given below:
In the context of the Keynesian concept of a multiplier, a \(\$\)1 increase in government spending financed by a \(\$\)1 increase in taxes will cause equilibrium income to:
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 \(P,O,Q\).