In what ratio does the $y$-axis divide the line segment joining the points $(-3, -4)$ and $(1, -2)$?

The polar coordinate of a point $P$ is $\left(2, -\frac{\pi}{4}\right)$. The polar coordinate of the point $Q$,which is such that the line joining $PQ$ is bisected perpendicularly by the initial line,is

If the distance between the points $(x, 2)$ and $(3, 4)$ is $2$,find the value of $x$.

Three points $P, Q,$ and $R$ lie on the line segment joining points $A(-6, 8)$ and $B(8, -6)$ such that $AP = PQ = QR = RB$. Find the coordinates of $R$.

Find the coordinates of the point which divides the line segment joining the points $(a + b, a - b)$ and $(a - b, a + b)$ externally in the ratio $a : b$.

The common property of points lying on the $x$-axis is