Four point charges $\;+8 \mu C\;,-1 \mu C\;,-1 \mu C\;and\;+8 \mu C\;$ are fixed at the points $\;-\sqrt{\large\frac{27}{2}} m \;,- \sqrt{\large\frac{3}{2}} m \;,+ \sqrt{\large\frac{3}{2}} m \;and\;+\sqrt{\large\frac{27}{2}} m\;$ respectively on the Y-axis . A particle of mass $\;6\times10^{-4} kg\;$ and charge $\;0.1 \mu C \;$ moves along the - X direction . It's speed at $\;x=+ \infty\;$ is $\;V_{0}\;. \quad \;$ Answer the following question based on the passage . Find the point on the x-axis where electric field is zero .

Question

$(a)\;\pm \sqrt{\large\frac{5}{2}}\qquad(b)\;\pm \sqrt{\large\frac{3}{2}}\qquad(c)\;\pm \sqrt{\large\frac{27}{2}}\qquad(d)\;\pm \sqrt{\large\frac{15}{2}}$