Mathematics

Problem

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