Solution of JEE Advanced 2021 Paper 1 Q 9 & 10

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Two point charges -Q and +Q/rt3 are placed in the xy-plane at the origin (0,0) and a point (2,0) respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane with its center at (b,0). All lengths are measured in meters. Find R and b.