2. $\odot A$ and $\odot B$ intersect at $P$ and $Q$, $X P Y \parallel A B$, $M$ and $N$ are the midpoints of $X P$ and $P Y$ respectively (see Figure 17). Among the following statements:
(1) $A M \perp P X$;
(2) $A B N M$ is a parallelogram;
(3) $X Y = 2 A B$.

Which of the following is correct? ( ).
(A) Only (1),
(B) (1) and (2),
(C) (1) and (3),
(D) (2) and (3);
(E) All are correct.
$\mathrm{E}$