Two point charges \( -\mathrm{q} \) and \( \frac{\mathrm{q}}{2} \) are situated at the origin an...

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Two point charges \( -\mathrm{q} \) and \( \frac{\mathrm{q}}{2} \) are situated at the origin and at the point \( (\mathrm{a}, 0,0) \) respectively. The point along the \( \mathrm{x} \)-axis where the electric field vanishes is
a. \( \mathrm{x}=\frac{\mathrm{a}}{\sqrt{2}} \)
b. \( x=\sqrt{2} a \)
c. \( x=\frac{a}{\sqrt{2}-1} \)
d. \( x=\frac{\sqrt{2} a}{\sqrt{2}+1} \)
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