Question

Point A is on circle O. Which statement is NOT true? * A. There are many tangent lines that contain point A. B. There is exactly one diameter that contains point A. C. There are many chords of the circle that contain point A. D. Segment OA is a radius of the circle.

Answer 1

Answer: A. There are many tangent lines that contain point A.

Step-by-step 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.