Question

Find the relation between $x$ and $y$ if the point $P(x,y)$ is equidistance from the point $A(7,0)$ and $B(0,5)$

Answer 1

$P(x,y)$ is equidistant from $A(7,0)andB(0,5)$

$=>AP=BP=>(7-x{)}^2+y^2=x^2+(5-y{)}^2=>49-14x=25-10y=>5y-7x+12=0$