The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length $3$$a$ is :

Question

${x^2}\, + \,{y^2} = 9{a^2}$

${x^2}\, + \,{y^2} = 16{a^2}$

${x^2}\, + \,{y^2} = 4{a^2}$

${x^2}\, + \,{y^2} = {a^2}$

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