Question

What point on y-axis is equidistant from the points (3, 1) and (1, 5)?

Answer 1

let p{0,y}
a{3,1}
b{1,5}
according to question
ap = pb
{0-3}² +{y-1}² ={1-0}² +{5-y}²
{3}² + y² + 1 +2y ={1}² + 25 + y² + 10y
9 + 1 + 2y = 1 + 25 +10y
-8y=16
y= -2

there for co-ordinate is {0,-2}