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The locus of the points (in the xy-plane...

The locus of the points (in the `xy`-plane) where the electric field due to a dipole (dipole axis is along `x`-axis and its equatorial is along `y`-axis) is perpendicular to its axis, is

A

Straight line perpendicular to the axis

B

Circle

C

Parabola

D

Straight line having inclination `theta = tan^(-1) sqrt2` with the axis.

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