Two charges $$Q_1=q$$ and $$Q_2=mq$$ are placed at the points $$P_1(a,b)$$ and $$P_2(ma,mb)$$, respectively, in the $$XY$$ plane, where $$a,b\neq 0$$ and $$m\neq 0,1$$. If $$V_1$$ is the potential at a point in the $$XY$$ plane due to charge $$Q_1$$ and $$V_2$$ is the potential at that point due to charge $$Q_2$$. Correct statement(s) for the points at which $$|V_1|=|V_2|$$ is/are:

A

For $$m=-1$$, locus of these points is $$ax+by=0$$.

B

For $$m=2$$, the locus of these points is a circle of radius $$\dfrac{2}{3}\sqrt{a^2+b^2}$$ centered at $$\left(\dfrac{2}{3}a,\dfrac{2}{3}b\right)$$.

C

For $$m=-2$$, the locus of these points is a circle of radius $$2\sqrt{a^2+b^2}$$ centered at $$(2a,2b)$$.

D

For $$m=-3$$, locus of these points is $$3bx+3ay=0$$.