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The equation of a circle is x^2 + y^2 + ...

The equation of a circle is `x^2 + y^2 + 14x-4y +28= 0`. The locus of the point of intersection of orthogonal tangents to `C_1` is the curve `C_2` and the locus of the point of intersection of perpendicular tangents to `C_2` is the curve `C_3` then the statement(s) which hold good?

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