Two $n \times n$ matrices $A$ and $B$ have a common eigenvalue 2 , and the same corresponding nonzero eigenvector. Which of the following options is/are correct?

(Note: $I$ is the $n \times n$ identity matrix.)

A is an $m \times m$ skew-symmetric matrix with real-valued entries, and $x$ is an $m$-dimensional column vector with real-valued entries such that $x^T x=1$. The quantity $x^T A x$ evaluates to $\_\_\_\_$ . (Answer in integer)

The relationship between two variables $x$ and $y$ is given by $x+p y+q=0$ and is shown in the figure. Find the values of $p$ and $q$.

Note: The figure shown is representative.