1. Cooking is faster in a pressure cooker than in an open pan:
Reason:
In a pressure cooker, the pressure is higher than in an open pan. As a result, the boiling point of water increases. This higher boiling point allows the food to cook at a higher temperature, which speeds up the cooking process. In an open pan, the boiling point of water is at 100°C, while in a pressure cooker, the boiling point can rise above 100°C, making the cooking process faster.
2. On mixing liquid X and liquid Y, volume of the resulting solution decreases:
Deviation from Raoult's Law:
The resulting solution exhibits a negative deviation from Raoult's law. In this case, the intermolecular forces between the molecules of liquid X and liquid Y are stronger than the forces in the individual liquids. As a result, the total volume of the solution is less than the sum of the individual volumes of liquid X and liquid Y.
Change in Temperature:
When liquids with strong intermolecular attractions are mixed, energy is released due to the formation of new bonds between the molecules of X and Y. This release of energy typically leads to an exothermic reaction. Therefore, after mixing, the temperature of the solution will increase.
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 \(P,O,Q\).