   Chapter 6.4, Problem 12E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

⊙ Q has interior point A , point B on the circle, and point C in the exterior of the circle. How many tangent lines to ⊙ Q can be drawn (constructed) through:a) point A ? b) point B ? c) point C ?

To determine

(a)

To find:

The number of tangent lines that can be drawn through a given interior point A.

Explanation

The line that is perpendicular to the radius of a circle at its endpoint on the circle is a tangent to the circle. In the given figure, QT is a tangent to O at point T.

Given:

A Q has interior point A, point B on the circle, and point C in the exterior of the circle

To determine

(b)

To find:

The number of tangent lines that can be drawn through a given point B on the circle.

To determine

(c)

To find:

The number of tangent lines that can be drawn through a given point C in the exterior of the circle.

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