Two point charges of +Q each have been placed at the positions `(-a //2, 0) and (a // 2, 0,0)`. The locus of the points where - Q charge can be placed such the that total electrostatic potential energy of the system can become equal to zero, is represented by which of the following equations ?

Options

A. `Z^(2)+(Y-a)^(2)=2a`
B. `Z^(2)+(Y-a)^(2)=27a^(2)//4`
C. `Z^(2)+Y^(2)=15a^(2)//4`
D. None

Answer

C