The coordinates of the point in the related
Explanation of Solution
Given:
The expression is given as:
Rotation of axes to eliminate xy term:
The general second degree equation
By rotating the coordinate axes through an angle
Where,
The coefficients of the new equation are obtained by making the following substitutions:
And
Consider the value
Then the coefficients are as below
Adding equation (1) and (2),
Substituting the value of
Therefore, the coordination 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