Raotate the coordinateaxes to remove the xy-term and then identify the type of the conical represent by rhe equation.
plz hint about Raotate the coordinateaxes to remove the xy-term
Hello, ramiee2010!
You should be familiar with all the Rotation Formulas
. . before attempting this type of problem.
Given: ..[1]
Rotate the coordinate axes to remove the -term
Identify the type of the conic.
. . The angle of rotation is given by: . .[2]
. . The new coordinates are given by: . .[3]
We have: .
Then: .
is in a right triangle with: .
. . Pythagorus says: .
Hence: .
Identity: .
We have: .
Hence, is in a 3-4-5 right triangle: .
Substitute into [3]: .
Substitute into [1]:
. .
. . .
. .
. . . . . . .
. . . . . . . . . . .