Acyl chlorides - class-XII

C
Rest all are derivatives of carboxylic acids.And directly by the hydrolysis of amines carboxylic acids cannot be formed.

Option A, B and D can be derived from $CH _3 COOH$ while option C, i.e., $HCOOH$ cannot be derived from $CH _3COOH$ as $HCOOH$ has one carbon less than $CH _3COOH$.

Esterification (Fischer esterification) is acid-catalyzed. Using a base would result in a saponification-like reaction or simply fail to catalyze the formation of the ester from the acid and alcohol.

Ethyl ethanoate is an ester. Sodium acetate (CH3CO2Na) is the salt of the carboxylic acid component of the ester and does not act as a nucleophile to substitute the ethoxy group in a standard substitution reaction.

Amides and Acid chlorides are organic Functional group and functional derivative of carboxylic acid. Amide has general formula $\displaystyle  R - \underset {   \underset {\displaystyle O}{||}  }{C} - NH _2  $. Carboxylic acid has general formula $\displaystyle  R - \underset {   \underset {\displaystyle O}{||}  }{C} - OH  $. An example of amide is acetamide $\displaystyle  CH _3 - \underset {   \underset {\displaystyle O}{||}  }{C} - NH _2   $. An example of carboxylic acid is acetic acid $\displaystyle  CH _3 - \underset {   \underset {\displaystyle O}{||}  }{C} - OH  $. Acid chloride has general formula $\displaystyle  R - \underset {   \underset {\displaystyle O}{||}  }{C} - Cl  $.  An example of acid chloride is acetyl chloride $\displaystyle  CH _3 - \underset {   \underset {\displaystyle O}{||}  }{C} - Cl  $. 

As the molecular weight increases the boiling point of carboxylic acid increases. Lower aliphatic carboxylic acids (upto 9 C atoms) are liquids, the higher members are wax like solids.

Ester is the main functional derivative of carboxylic acid. Ester has general formula $\displaystyle  R - \underset {   \underset {\displaystyle O}{||}  }{C} - OR'  $. Carboxylic acid has general formula $\displaystyle  R - \underset {   \underset {\displaystyle O}{||}  }{C} - OH  $. An example of ester is ethyl acetate $\displaystyle  CH _3 - \underset {   \underset {\displaystyle O}{||}  }{C} - O-CH _2-CH _3  $. An example of carboxylic acid is acetic acid $\displaystyle  CH _3 - \underset
{   \underset {\displaystyle O}{||}  }{C} - OH  $

Acyl halide is $R-CO-X$
Hence option A is correct.

An acid hydride is a compound that has two acyl groups $(CH _{3}COO)$ bonded to the same oxygen atom

The given statement is True.
Acyl halide and acid halide are same groups. They represent the function group
  $\displaystyle R- \underset {\displaystyle  \underset {\displaystyle \text {O }}{||} }{C}-X$  where X is halogen atom (F, Cl, Br or I). They are derived from carboxylic acids (  $\displaystyle R- \underset {\displaystyle  \underset {\displaystyle \text {O }}{||} }{C}-OH$ ) by replacing a hydroxyl group (-OH) with a halide group.
An example is acetyl chloride  $\displaystyle CH _3- \underset {\displaystyle  \underset {\displaystyle \text {O }}{||} }{C}-Cl$
Another example is benzoyl chloride $\displaystyle Ph- \underset {\displaystyle  \underset {\displaystyle \text {O }}{||} }{C}-Cl$