Consider the two curves
$$C_1 : y^2 = 4x$$
$$C_2 : x^2 + y^2 - 6x + 1 = 0$$
Then,

A

$$C_1$$ and $$C_2$$ touch each other only at one point

B

$$C_1$$ and $$C_2$$ touch each other exactly at two points

C

$$C_1$$ and $$C_2$$ intersect (but do not touch) at exactly two points

D

$$C_1$$ and $$C_2$$ neither intersect nor touch each other