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Expert-verified Found in: Page 335 ### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279 # How many common internal tangents can be drawn to each pair of circles in exercise 1 above ?

a. The final answer is $2.$

b. The final answer is $1.$

c. The final answer is $0.$

d. The final answer is $0.$

e. The final answer is $0.$

f. The final answer is $0.$

See the step by step solution

## Part a. Step 1. Given information:

The figure is given. ## Step 2. Concept use.

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

## Step 3.  Applying the concept.

Now, we apply our concept that is-

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

Given figure has two internal tangents as shown below. Therefore, the answer is $2.$

## Part b. Step 1. Given information:

The figure is given. ## Step 2. Concept use.

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

## Step 3.  Applying the concept.

Now, we apply our concept that is-

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

Given figure has two internal tangents as shown below. Therefore, the answer is $1.$

## Part  c. Step 1. Given information:

The figure is given. ## Step 2. Concept use.

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

## Step 3.  Applying the concept.

Now, we apply our concept that is-

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

Given figure has no internal tangents.

Therefore, the answer is $0.$

## Part  d. Step 1. Given information:

The figure is given. ## Step 2. Concept use.

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

## Step 3.  Applying the concept.

Now, we apply our concept that is-

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

The figure has no internal tangents.

Therefore, the answer is $0.$

## Part e. Step 1. Given information: ## Step 2. Concept use.

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

## Step 3.  Applying the concept.

Now, we apply our concept that is-

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

The figure has no internal tangents.

Therefore, the answer is $0.$

## Part f. Step 1. Given information:

The figure is given. ## Step 2. Concept use.

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

## Step 3.  Applying the concept.

Now, we apply our concept that is-

A tangent is internal tangent if the intersection of tangent and line joining centres of two circles is empty.

The figure has no common tangent. Therefore, the answer is $0.$ ### Want to see more solutions like these? 