Question

Find the equation of the locus of points which are equidistant from the points $(2,3)$ and $(5,7)$

Answer 1

Let the point is $(x,y)$

Acco. to question $\sqrt{(x-2{)}^2+(y-3{)}^2}=\sqrt{(x-5{)}^2+(y-7{)}^2}$

Locus will be $6x+8y=61$