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The equation of the circle passing throu...

The equation of the circle passing through `(1/2, -1)` and having pair of straight lines `x^2 - y^2 + 3x + y + 2 = 0` as its two diameters is : (A) `4x^2 + 4y^2 + 12x - 4y - 15 = 0` (B) `4x^2 + 4y^2 + 15x + 4y - 12 = 0` (C) `4x^2 + 4y^2 - 4x + 8y + 5 = 0` (D) none of these

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