The electric potential at a point (x, y) in the \[x\text{ }\text{ }y\] plane is given by \[V=-kxy.\] The field intensity at a distance r from the origin varies as

• A. \[{{r}^{2}}\]
• B. \[r\]
• C. \[\frac{1}{r}\]
• D. \[\frac{1}{{{r}^{2}}}\]