The reflection of the point $(4, -13)$ in the line $5x + y + 6 = 0$ is

The area (in square units) of the quadrilateral formed by the point of intersection of the lines $x+y-1=0$ and $x-y+1=0$,the point $P(1,1)$,and the feet of the perpendiculars from this point onto the lines is:

What are the coordinates of the image of the point $(4, -5)$ with respect to the line $y = x$?

If the $y$-intercept of the perpendicular bisector of the line segment joining $P(1, 4)$ and $Q(k, 3)$ is $-4$,then a possible value of $k$ is

$A$ ray of light coming from the point $(1, 2)$ is reflected at a point $A$ on the $x$-axis and then passes through the point $(5, 3)$. The coordinates of the point $A$ are:

The equation of the perpendicular bisector of the line segment joining $A(-2, 3)$ and $B(6, -5)$ is