Answer:
a. The mtDNA of Anna Anderson bore no resemblance to that of Tsarina Alexandra
c. Tsarina Alexandria's mtDNA was found to be a match to that of the teenage girl.
Explanation:
Mitochondria contain their own DNA known as mtDNA, a strand which is inherited maternally. mtDNA can be used to find maternal ancestry and cannot be passed down by a paternal parent.
This information provides evidence given that the remains of the teenage girl had mtDNA that was identical to the mother, Tsarina Alexandra. It also gave evidence as to why Anna Anderson's claim of being Anastasia were false as the mtDNA of her and Tsarina Alexandra were not similar.
As to why the other answers cannot support the hypothesis, mtDNA is a maternally passed-down strand making the father, Tsar Nicholas Romanov, from having identical mtDNA to his children. On the other hand, if the teenage girl were to not have matching mtDNA to that of Tsuarina's mtDNA, this would disprove the theory of the girl being related to her.
While the teenage boy also had matching mtDNA with the girl, this only proves that the two were related to one another but not necessarily related to Tsarina unless the mtDNA of all three were proven identical.