Step 1: Polar molecules have a permanent dipole moment due to the unequal sharing of electrons between atoms in the molecule, leading to a positive and a negative end.
Step 2: Among the options, HCl is a polar molecule because chlorine is more electronegative than hydrogen, which causes an uneven distribution of electron density, creating a dipole moment. The other molecules (O\(_2\), H\(_2\), N\(_2\)) are non-polar because the electron distribution is symmetric in these molecules.
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 \(P,O,Q\).