Question

Which of the following statements are true?
1) No tangents can be drawn to a circle from an interior point.
2) Only two tangents, at most, can be drawn to a circle from an exterior point.

• A. Only 1
• B. Only 2
• C. Both 1 and 2
• D. No statement is true

Answer 1

The correct option is C

Both 1 and 2

An interior point is a point that lies inside the circle. Since a tangent has to touch the circle at only one point no matter how long it is extended on either side, a tangent is not possible from an interior point; as any line through an interior point will cut the circle in two distinct points.


An exterior point is a point that lies outside the circle. A maximum of two tangents can be drawn from an exterior point to a circle.