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Difficulty: 555-605 Level,   Coordinate Geometry,                  
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Re: In the xy-plane, circle C has center (1,0) and radius 2. If line k is [#permalink]
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In the xy-plane, circle C has center (1,0) and radius 2. If line k is parallel to the y-axis, is line k tangent to circle C ?

(1) Line k passes through the point (−1,0).
(2) Line k passes through the point (−1,−1).

(1) The center of the circle is (1,0) and the radius is 2 so the circle passes through the point (-1,0). Besides, the like k passes through (-1,0) and parallel to the y-axis, i.e., x=-1. So the line k is tangent to the circle C. Sufficient.

(2) As the line is parallel to the y-axis and passes through (−1,−1), so x=-1, the line also passes through (-1,0) and tangent to circle C. Sufficient.

The answer is D.
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Re: In the xy-plane, circle C has center (1,0) and radius 2. If line k is [#permalink]
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Re: In the xy-plane, circle C has center (1,0) and radius 2. If line k is [#permalink]
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