Step 1: Understanding the Definitions:
This question tests the basic definitions of lines related to a circle.
- A Chord is a line segment whose two endpoints lie on the circle.
- A Tangent is a line that touches the circle at exactly one point.
- A Secant is a line that passes through the circle, intersecting it at two distinct points.
Step 2: Detailed Explanation:
The question asks for the name of a line that intersects a circle in two distinct points. Based on the standard definitions in geometry, this line is called a secant. The part of the secant that lies inside the circle is a chord.
Step 3: Final Answer:
The correct term is Secant.
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.
In the given figure, \( PQ \) and \( PR \) are tangents to the circle such that \( PQ = 7 \, \text{cm} \) and \( \angle RPQ = 60^\circ \).
The length of chord QR is:
In the given figure, a circle inscribed in \( \triangle ABC \) touches \( AB, BC, \) and \( CA \) at \( X, Z, \) and \( Y \) respectively.
If \( AB = 12 \, \text{cm}, AY = 8 \, \text{cm}, \) and \( CY = 6 \, \text{cm} \), then the length of \( BC \) is: