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Circles

Circles

Example 1

How is it possible for two circles to have only two common tangents?

Example 2

How is it possible for two circles to have only one common tangent?

Example 3

A diameter is a secant. True or false?

Example 4

If a line m is perpendicular to the radius of a circle, then m is not a secant of the circle. True or false?

Example 5

In the figure below, segments PB and PA are tangent to ⊙O at B and A, respectively. Also, ∠AOB is a right angle. Prove that ∠APB is a right angle.

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