Rotate the axes so that the new equation contains no xy-term. Discuss and graph the new equation.
x^2 + 10xy + y^2 - 3 = 0
Choose the conic that matches this equation:
A. Ellipse
B. Parabola
C. The equation does not represent a conic.
D. Hyperbola
Enter the location of the center of the conic.
(h, k) = ( , )
Enter the angle of rotation that eliminates the xy-term of the equation of the conic.
Choose the correct transverse axis of the rotated conic.
A. x'
B. y'
Enter the coordinates of the vertices of the conic in the x'-y' plane.
(± , ) (Simplify your answer. Rationalize all denominators.)