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.
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:
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:
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.