To find: The equation of the
Answer to Problem 41WE
The required equation is
Explanation of Solution
Given information: Tangent to the line
Formula used:
Calculation: Since tangents
As we have the end x-coordinate of diameter,
Hence, the midpoint of the diameter .i.e. center of the circle
The distance from 1 to 5 is 4 and the distance from 5 to 9 is 4.
Hence, the radius of the circle
Since, the given circle is also tangent to
It is also mention in question that the circle lies in the IV quadrant. Hence,
Now, the center of the circle will be
Substitute the value of the center
Therefore, the required equation is
The graph is given below,
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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