In half-duplex data transmission mode, communication occurs in both directions between devices, but only one device can send data at a time. This means that when one device is transmitting, the other must wait until the transmission is complete before responding.
Other transmission modes:
Half-duplex is commonly used in walkie-talkies and some network systems where bidirectional communication is necessary but simultaneous transmission is not possible.
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 \(P,O,Q\).