An overload protector is a safety device used in electrical appliances like refrigerators, air conditioners, and compressors.
Its main purpose is to protect the motor or compressor from damage due to excessive current or overheating.
When the current exceeds a safe limit or the motor temperature rises too high, the overload protector automatically disconnects the electrical supply.
This prevents the winding insulation from burning and extends the life of the equipment.
Once the temperature or current returns to normal, the protector resets itself or can be manually reset.
Overload protectors are simple, cost-effective, and essential for safe operation.
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 \(P,O,Q\).