# Think of a good Gaussian surface!

Two charges are placed along same horizontal line. Charge1 is carrying charge $$Q$$. whereas charge 2 is carrying charge $$q$$.If the field line emerging from charge 1 at an angle $$A=30^\circ$$ with horizontal goes to infinity and the tangent to that field line at infinity from charge 2 makes an angle $$B=60^\circ$$ with horizontal.

If $$\dfrac Qq$$ is of form $$\dfrac{\sqrt a-b}{c}$$, where $$a,b$$ and $$c$$ are positive integers with $$c$$ minimized, find $$a+b+c$$.

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