Assertion (A): The boiling point of ethanol is higher than that of methoxymethane.
Reason (R): There is intramolecular hydrogen bonding in ethanol.
Assertion (A) is false, but Reason (R) is true.
Step 1: Understanding boiling point comparison. Ethanol has a higher boiling point than methoxymethane due to the presence of hydrogen bonding between ethanol molecules, which requires more energy to break these interactions.
Step 2: Reason for the boiling point difference. The intramolecular hydrogen bonding in ethanol is the reason for its higher boiling point compared to methoxymethane, as methoxymethane lacks such hydrogen bonding.
Step 3: Conclusion. Since both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A), the correct answer is option (A).
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 \(P,O,Q\).