How do you rotate the axes to transform the equation #2x^2+sqrt3xy-y^2=-10# into a new equation with no xy term and then find the angle of rotation?
1 Answer
Please read the reference and the explanation.
Explanation:
The general Cartesian form for a conic section is:
In the given equation,
The angle to rotate the conic section back into alignment with the axis is:
Let
Substituting in values:
We know that B' will be 0. (I checked it on a scratchpad)
Substituting in values:
The new equation is:
In the standard form of the equation of a hyperbola: