Given the circles Cx2 + y² – 6x – 4y + 9 = 0 and C2:x² + y2 - 2x- 6y + 9 = 0, Find, (a) the equation of the circle C3 which passes through the centre of C,and through the point of intersection of C,and C2. (b) the equations of the two tangents from the origin to C, and the length of each tangent.

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