If the distance between the points $(4, p)$ and $(1, 0)$ is $5,$ then the value of $p$ is

Ayush starts walking from his house to his office. Instead of going to the office directly,he goes to a bank first,from there to his daughter's school,and then reaches the office. What is the extra distance travelled by Ayush in reaching his office (in $, km$)? (Assume that all distances covered are in straight lines).
If the house is situated at $(2,4)$,the bank at $(5,8)$,the school at $(13,14)$,and the office at $(13,26)$,where coordinates are in $km$.

$\overline{AB}$ is a diameter of $\odot(P, r)$. If $A(4, 0)$ and $B(-2, 2)$ are given,then the coordinates of $P$ are.............

Find the point on the $Y$-axis which is equidistant from the points $(-5, -2)$ and $(3, 2)$.

$AOBC$ is a rectangle whose three vertices are $A (0, 3)$,$O (0, 0)$,and $B (5, 0)$. The length of its diagonal is

If the midpoint of the line segment joining $P(3, 4)$ and $Q(a, 8)$ is $M(5, 6)$,then $a = \ldots \ldots \ldots \ldots$