A) Because all acid aqueous solutions are conductive, due to the presence of hydrogen ions and acid ions, which can conduct charge exchange between the electrodes and thus conduct electricity. So the acid is also an electrolyte.
B) When strong acids are mixed with water a large amount of heat is released. Addition of more acid releases more heat. If we add water to acid, it forms an extremely concentrated solution of acid initially such that solution may boil very violently releasing heat, splashing concentrated acid out of the container. If you add acid to water, the solution that forms is very dilute and a very little amount of heat is released with out involving any violent reactions. So Always Add Acid to water, and never the reverse.