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Seems to me it has to be the line that passes through the mid-point of the line joining the charges, and perpendicular to it. It would be a line with slope = -1 / (slope of line joining the charges) and passing through the point that's (d/2) distant from both charges.

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Q: Q and -q are two charges d distances apartFind locus of a point at which electric fields are parallel to the line joining the charges?
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