Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + xy + y2 - 3y - 6 = 0
A. ? = 45°
y'2 = -18x'
parabola
vertex at (0, 0)
focus at (- 
, 0)
B. ? = 45°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±
, 0)
C. ? = 45°
+ 
= 1
ellipse
center at (
, 
)
major axis is y'-axis
vertices at (
, - 
) and (
, 
)
D. ? = 45°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±2)
Answer: C
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B. 
C. 
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