can accept even palindrome over {a,b}ans.Turing machineAll of the mentionedNDFAPush down Automata Previous Marked for Review Next

It seems like you're asking which type of machine can accept an even palindrome over the set {a,b}.

A palindrome is a string that reads the same forwards and backwards. An even palindrome is a palindrome with an even number of symbols.

1. Turing Machine: A Turing machine can certainly accept this language. It can compare the first and last symbols of the string, then move inwards comparing symbols until it reaches the middle. If all pairs of symbols match, it accepts; otherwise, it rejects.

2. Non-deterministic Finite Automaton (NDFA): An NDFA cannot accept this language. NDFAs are not capable of handling the "memory" needed to compare symbols from the beginning and end of the string.

3. Push Down Automata (PDA): A PDA can accept this language. It can push the first half of the string onto its stack, then compare the second half of the string to the contents of its stack. If they match, it accepts; otherwise, it rejects.

4. All of the mentioned: This is not correct because, as mentioned above, an NDFA cannot accept this language.

So, the correct answer is Turing Machine and Push Down Automata.