Two positive charges `q_(1)` and `q_(2)` are located at points with radius vectors `vecr_(1)` and `vec r_(2)`. Find the negative charge and its radius vector which would make the force on all the charges zero.

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Correct Answer - `q_(3)=(q_(1)q_(2))/(sqrtq_(1)+sqrtq_(2))^(2),vecr_(3)=(vecr_(1)sqrtq_(2)vecr_(2)sqrtq_(1))/(sqrtq_(1)+sqrtq_(2))`

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