Almost perfectly round

Geometry Level 4

Consider the parabola \(C_{1} : y^{2} = 4x\) and the circle \(C_{2} : x^{2} + y^{2} -6x +1 = 0\). Then \(C_{1}\) and \(C_{2}\):

A) touch each other exactly at two points.
B) touch each other exactly at one point.
C) intersect (but do not touch) at exactly two points.
D) neither intersect nor touch each other.

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