Consider the following implementation of a hashCode$()$ method that uses the bitwise exclusive$-$or $(^)$ operator.

public class Point$2$D $\{$

$$Double x$,$ y;

$...$

$$public int hashCode$()\{$

$$ return x$.$hashCode$()^$ y$.$hashCode$()$;

$\}$

$\}$

Which of the following statements are true about two instances p and q of a Point$2$D$?$

Question $9$ options:

a$)$

if$$ p$.$x $$ q$.$y$$ or$$ p$.$y $$ q$.$x$$ then$$ p$.$hashCode$()$ q$.$hashCode$()$

b$)$

if$$ p$.$x $=$ p$.$y$$ then$$ p$.$hashCode$()=0$

c$)$

if$$ p$.$x $=$ q$.$y$$ and$$ p$.$y $=$ q$.$x$$ then$$ p$.$hashCode$()=$ q$.$hashCode$()$

d$)$

Both $($a$)$ and $($b$)$ are true

e$)$

Both $($b$)$ and $($c$)$ are true