Answer: A. There are many tangent lines that contain point A.
Explanation:
Given, Point A is on circle O.
- A tangent line at a given point is the straight line that touches the curve at that point.
- A tangent line has to be perpendicular to the radius at this point. And perpendicular lines through a given point are unique.
That means, Statement A. "There are many tangent lines that contain point A" is wrong.
- Diameter is the line drawn between two points of the circle that passes through the center, so statement B is correct.
- Chords are lines drawn between any two points of the circle, so statement C is also correct.
- Radius is the distance from the center of the circle to its boundary, So statement D is also correct.