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:
Dividing equation (2) by
Adding equation (1) and (3)
Substituting the value of
Therefore, the coordination of the point in the rotated coordinate system is
.
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning