37 in base 2 is: $0100101$
-37 will be: 2s complement of 37, i.e. $1011011$.
When encoding for Booth multiplication, we have $+1$ for every $...01...$ pair and $-1$ for every $...10...$ pair. And there is an implied $0$ in the left of LSB.
So, we get the following recording:
-1 +1 0 -1 + 1 0 -1
option (A)