True or False? A line that intersects a circle at exactly one point is called a tangent line.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Question
True or False?
A line that intersects a circle at exactly one point is called a tangent line.
A. True
B. False
SUBMIT
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Solution
Answer
A line that intersects a circle at exactly one point is indeed called a tangent line. Therefore, the statement in the question is True.
Explanation
In geometry, a tangent line to a circle is defined as a straight line that touches the circle at precisely one point. This point of intersection is known as the point of tangency. It is crucial to distinguish this from other types of lines that may intersect a circle, such as secants, which intersect the circle at two points, or lines that do not intersect at all.
The defining characteristic of a tangent is its singular point of intersection, which means the line does not pass through the circle but merely touches it at one specific location. This property is essential in various applications in mathematics and physics, where tangents are used to describe rates of change and the behavior of curves.
Thus, based on this understanding, the correct choice regarding the statement is A. True.
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