If the distance between the points (3,a) and (6,1) is 5, find the value of a.

Explanation

Distance between the points (3,a) and (6,1) is
`sqrt((3-6)^2+(a-1)^2=sqrt9+(a-1)^2` `sqrt(9+(a-1)^2) = 5 ` or, `9+(a-1)^2=25`
or, `(a-1)^2=16`
or, `a-1=ne4`
` a=1`ne4=5` or, -3.