Question

Which of the following statements is not true? 

Options

• A line which intersects a circle in two points, is called a secant of the circle.

• A line intersecting a circle at one point only, is called a tangent to the circle.

• The point at which a line touches the circle, is called the point of contact.

• A tangent to the circle can be drawn from a point inside the circle.

Answer 1

A tangent to the circle can be drawn from a point inside the circle.

Explanation:

A tangent meets a circle at exactly one point (definition of tangent and secant). If a point lies inside the circle every line through it meets the circle in two points, so no tangent can be drawn from an interior point. One tangent can be drawn from a point on the circle and two tangents from a point outside.