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55. The Greek Method the Greek method for finding the equation of the tangent line to a circle uses the fact that at any point on a circle the lines containing the center and the tangent line are perpendicular (see Problem 54). Use this method to find an equation of the tangent line to the circle at the point .
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To find: The tangent line to the circle.
Answer to Problem 55AYU
Solution:
Explanation of Solution
Given:
at the point
Finding the slope between the center of the circle and the given point
Finding the equation of the line that passes through the given point using the slope that perpendicular to the one found above
Solving for
Therefore
That is
Chapter 1 Solutions
Precalculus Enhanced with Graphing Utilities
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