Let $=\{$x$,(,)\},$ that is one has the characters x$,$ the open parenthesis and the close parenthesis. Let L be the language whose strings have the same number of left parentheses as right parentheses and M be the language where all parentheses are balanced. Which of the following is true?

$"$x$($x$($x$)$x$)"$ is in L but not in M

$")))((("$ is in L but not in M

The shortest non$-$empty string in M has the length of $2$

$"$x$)$x$)"$ is in L but not in M