Find the distance between the points $P(-2, 3)$ and $Q(4, -1)$.

If $C$ is the reflection of $A(2, 4)$ in the $x$-axis and $B$ is the reflection of $C$ in the $y$-axis, then $|AB|$ is

The coordinates of a point are $(0, 1)$ and the ordinate of another point is $-3$. If the distance between the two points is $5$,then the abscissa of the other point is:

The point on the $y$-axis equidistant from the points $(3, 2)$ and $(-1, 3)$ is

Let $A$ and $B$ be two finite sets with $m$ and $n$ elements respectively. The total number of subsets of set $A$ is $56$ more than the total number of subsets of set $B$. Then the distance of the point $P(m, n)$ from the point $Q(-2, -3)$ is

The coordinates of the point of trisection of the line segment joining the points $(-2, 3)$ and $(3, -1)$ that is nearer to $(-2, 3)$ are