Area under the curveMediumBloom L3
Question
Consider the two curves C1 : y2 = 4x, C2 : x2 + y2 - 6x + 1 = 0. Then,
Options
A.C1 and C2 touch each other only at one point
B.C1 and C2 touch each other exactly at two points
C.C1 and C2 intersect (but do not touch) at exactly two points
D.C1 and C2 neither intersect nor touch each other
Solution
The circle and the parabola touch each other at x = 1 i.e. at the points (1, 2) and (1, - 2) as shown in the figure.
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