An unripe mango placed in a concentrated salt solution to prepare pickle, shrivels because __________
it loses water due to osmosis
Step 1: Understanding osmosis. When the mango is placed in a concentrated salt solution, water from the mango moves out to dilute the external solution due to osmosis, as water moves from low solute concentration to high solute concentration.
Step 2: Conclusion. Thus, the mango loses water due to osmosis, corresponding to option (D).
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 \(P,O,Q\).