Find its radius and location of its Centre [closed]

Two fixed charges $$-2Q$$ and $$Q$$ are located at the points with coordinates $$(-3a,0)$$ and $$(+3a,0)$$ respectively in the x-y plane. Show that all the points in the x-y plane where the electric potential due to the two charges is 0, lie on a circle. Find its radius and location of its Centre.

closed as off-topic by John Rennie, Bill N, GiorgioP, Kyle Kanos, HDE 226868Apr 29 at 19:29

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• Welcome to Physics.SE! This question will likely be closed as the policy of the site of not to answer "do-my-homework" type questions. I would recommend resubmitting your question showing your attempt at a solution and stating clearly what physics concepts you are struggling with. – Josh Hoffmann Apr 27 at 14:30
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Let's understand the problem from very basics. We all know Coulomb's law which states $$| F| = \frac {kqq'}{r²}$$ now we can see that in the following problem you are required to find the locus of all the neutral points in the x-y plane. So let's start by calculating the force due to the charges at point $$(x,y)$$. Before this let's introduce the vector form of coulomb's law which says $$F̅ = \frac {kqq'}{r³} r̂$$ hint :- you have to write the force expression at a generic point $$(x,y)$$ and then equate its magnitude to zero this would generate required locus .