Given the below circuit. The comparator is supplied by $a+12V$ and $-12$ V DC power supply.

a$)$ Find the two reference voltages: $V_{\text{r}\text{e}\text{f}-\text{h}\text{i}\text{g}\text{h}}$ and $V_{\text{r}\text{e}\text{f}-\text{l}\text{o}\text{w}}?(10$ points$)$

b$)$ Suppose the current output is HIGH. What is output $V_{\text{o}\text{u}\text{t}}$ if the input$-1$ is $3(V)$ and input$-2$ is $3\mathrm{.}1($V$)?(15$ points$)$

c$)$ Suppose the current output is LOW. If the input$-1$ is $sin(210t)$ and input$-2$ is $1\mathrm{.}1($V$),$ draw the output $V_{\text{o}\text{u}\text{t}}$ when $0t10($second$).$ Note: This is just $5$ points and is a hard question, so I suggest you do other questions before doing this question. $(5$ points$)$