Question
$P(x, y)$ is a point equidistant from the points $A(4,3)$ and $B(3,4).$ Prove that $x − b= 0.$
✓
Answer
$P A^2=P B^2$
$\Rightarrow(x-4)^2+(y-3)^2$
$=(x-3)^2+(y-4)^2$
$\Rightarrow x=y \text { or } x-y=0$
$\Rightarrow(x-4)^2+(y-3)^2$
$=(x-3)^2+(y-4)^2$
$\Rightarrow x=y \text { or } x-y=0$
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