To find: Find the equation of line that is tangent to the circle at point
Answer to Problem 57E
The equation of tangent line is
Explanation of Solution
Given information:
It is given that the radius of the circle is
Concept used: Tangent line to the circle and radius of circle are perpendicular to each other.
Calculation:
The tangent line to the circle and the radius of the circle are perpendicular to each other.
The slope of line that passes through the points
Radius passes through the points
Substitute
Slope of radius is:
If two lines are perpendicular then product of their slope is
Let slope of the tangent line is
Substitute
Slope of tangent line is:
Now the equation of tangent line which passes through the point
Substitute
The equation of tangent line is
Chapter 0 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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