Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0
A. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)
B. ? = 45°
- y'2 = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
C. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
D. ? = 45°
+ y'2 = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
Answer: D
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