The point $P\left( x,y \right)$ is equidistant from the points $Q\left( c+d,d-c \right)$ and $R\left( c-d,c+d \right)$ then

Find a relation between x and y such that the point $(x, y)$ is equidistant from the point $(3, 6)$ and $(-3, 4)$.

$\mathrm{x}=\frac{\mathrm{t}}{2}-\frac{3}{2 \mathrm{a}}, \mathrm{y}=6-\frac{\mathrm{at}}{3}$ সরলরেখাটি $\mathrm{x}=\mathrm{t}+\frac{9}{3 \mathrm{a}}, \mathrm{y}=\frac{\mathrm{t}-2}{2}$ সরলরেখার উপর লম্ব হলেে a এর মান কত হবে?

Find the relation between $x$ and $y$ such that the point $P(x, y)$ is equidistant from the points $A(1, 4)$ and $B(-1, 2)$.