If amines are arranged in increasing order of their basic strength in gaseous phase, the correct order will be:
Inductive effect increases basicity.
NH₃ < CH₃NH₂ < (CH₃)₃N < (CH₃)₂NH
NH₃ < (CH₃)₂NH < (CH₃)₃N < CH₃NH₂
(CH₃)₃N < (CH₃)₂NH < CH₃NH₂ < NH₃
NH₃ < CH₃NH₂ < (CH₃)₂NH < (CH₃)₃N
Basicity increases with more alkyl groups due to the +I effect in gaseous phase.


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 \(P,O,Q\).