To calculate:Find the equation
Answer to Problem 55E
The equation of the circle passing though
Explanation of Solution
Given information:
The equation of the circle given is
Calculation:
As we do not know the coefficients we need to find them by substituting the points in the circle equation and by using elimination method we can know their values.
Substitute
Now by substituting
Substitute
Now, by solving these three equations we get the values.
Subtract equations 1 and 2 to eliminate F
Now, subtract equation 2 and 3 to get another equation.
Add equations 4 and 5 to get the values of D and E.
Substitute this value in any of the equations to get E value.
Substitute this two values to get F value.
The equation of the circle is
The graph is as follows:
Conclusion:
The equation of the circle passing though
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning