If from any point on the circle x2 - y2 - 2gx - 2fy - c - 0 tangents are drawn to the circle x2 - y2 - 2gx - 2fy - csin2- - g2 - f2 cos2- - 0- then the angle between the tangents is

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If from any point on the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ tangents are drawn to the circle $x^{2} + y^{2} + 2 g x + 2 f y + c {sin}^{2} α + (g^{2} + f^{2}) {cos}^{2} α = 0$ , then the angle between the tangents is

α

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2 α

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\frac{α}{2}

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\frac{α}{4}

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