A point electric dipole placed at the origin has a potential given by $V(r, \theta)=\frac{p \cos \theta}{4 \pi \varepsilon_0 r^2}$, where $\theta$ is the angle made by the position vector with the direction of the dipole. Then,
KVPY 2009, Medium
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(c)

A dipole and its field an axis and equatorial line are shown in above figure. Clearly at $\theta=\frac{\pi}{2}$ plane, electric field is along the plane. So, option $(c)$ is correct.

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