Find a point in the rotated
Answer to Problem 11E
The coordinates of the point in the rotated coordinate system is
Explanation of Solution
Given:
Rotation of axes to eliminate xy-term:
The general second-degree equation
By rotating the coordinate axes through an angle
The coefficients of the new equation are obtained by making the following substitutions
And
Consider the value
Then the co-efficient are as below:
Multiplying equation (2) by
Adding equation (1) and (3),
Substituting the value of
Therefore the coordinates of the point in the rotated coordinate system is
Chapter 10 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