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Two long straight parallel lines, #1 and #2, carry uniform positive linear charge densities. The charge density on line #2 is twice as great as the charge density on line #1. The locus of points where the electric field due to these lines is zero is along a line between the lines closer to line #1 than line #2. at a point midway between the lines. along a line between the lines closer to line #2 than line #1. along a line perpendicular to lines #1 and #2
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just apply gauss law at an arbitrary point between the line charges and try to solve it for zero resultant electric field you'll get the option 'a'
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