Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0

Question

A. ? = 45°
 - y'² = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
B. ? = 45°
y'² = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
C. ? = 45°
 + y'² = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
D. ? = 45°
x'² = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)

Answer 1

Answer: C