Chapter 6.CT, Problem 10CT

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

For the circles described and shown, how many common tangents do they possess?

a) Internally tangent circles

b) Circles that intersect in two points

To determine

**a)**

**To find:**

The number of common tangents in internally tangent circles.

Explanation

**Given:**

The internally tangent circles.

**Definition used:**

A line, line segment, or ray that is tangent to each of two circles is a common tangent for the given circles. If the common tangent does not intersect the line segment joining the centers, it is a common external tangent.

**Calculation:**

Consider,

To determine

**b)**

The number of common tangents in circles that intersect in two points,

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