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Statement 1 : If one and only one circle...

Statement 1 : If one and only one circle passe through the ponts of intersection of parabola `y=x^2` and hyperbola `x^2 - y^2 = a^2`, then `-1/2 lt a lt 1/2`. Statement 2 : Equation of family of circles passing through the points of intersection of circles `S_1 = 0 and S_2 = 0` (coefficient of `x^2` in `S_1 and S_2` being equal) is `S_1 + lambdaS_2 = 0`, where `lambda epsilon R`.

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