What is the tangent intercept?

What is the tangent intercept?

• A. Point where two tangent lines intersect
• B. Point where a tangent line touches the circle
• C. The center of a circle
• D. The point where a chord intersects a tangent

Answer: (A)

The tangent intercept is the touch point where a tangent line meets the circle. When a line is tangent to a circle, it touches the circle at exactly one point, called the point of tangency. At that point, the radius drawn to the circle is perpendicular to the tangent line. This touch point distinguishes a tangent from mere crossing or from other features like the center or a chord intersecting a tangent.

The tangent intercept is the touch point where a tangent line meets the circle. When a line is tangent to a circle, it touches the circle at exactly one point, called the point of tangency. At that point, the radius drawn to the circle is perpendicular to the tangent line. This touch point distinguishes a tangent from mere crossing or from other features like the center or a chord intersecting a tangent.