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

If $A(0, y_{1})$ and $B(0, y_{2})$ are the points on the $Y$-axis,then the distance between them $AB = \ldots$

If the distance between the points $(2, -3)$ and $(5, b)$ is $5,$ then $b = \ldots \ldots \ldots .$

The distance between the points $(0, 5)$ and $(-5, 0)$ 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 $km$.

The distance between the points $A(-4, -6)$ and $B(6, b)$ is $10,$ then $b = \dots$