To determine the equation of a
Answer to Problem 11P
Explanation of Solution
Given:
a circle that passes through the points
Formula Used:
The equation of a circle is:
Calculation:
Given the circle that passes through the points
We need to calculate the co-efficient for each of the three points by substituting the values of x and y for each point.
Hence, for the point
For the point
For the point
Solving the equation
Putting the value of D in the equation
Now, putting the values of D and E in terms of C in the equation
Substituting the value of C in the equation
Substituting the value of C in the equation
Now, putting the values of C, D and E in the general equation of the circle, we get:
Hence, the answer is
Conclusion:
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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