nitestr wrote:
Line M is tangent to a circle, which is centered on point (3, 4). Does Line M run through point (6, 6)?
(1) Line M runs through point (-8, 6)
(2) Line M is tangent to the circle at point (3, 6)
(1) Line M runs through point (-8, 6)
(2) Line M is tangent to the circle at point (3, 6)
From an external point, you can draw 2 tangents to a given circle. Moreover, we have no information about the radius of the circle. Thus, for different radii, we would have two unique sets of tangents and we cannot deduce if any of them distinctly passes through the point (6,6).
From F.S 2, the point of tangency is (3,6) and thus the radius has to be 2 units. Also, as a tangent is perpendicular to the radius(which is represented by the line x = 3) at the point of tangency, the only tangent possible is the line y=6. Sufficient.