Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
B. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
C. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
D. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
Answer: C
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A. 4 ln 
+ 
+ C
B. 2 ln 
- 
+ C
C. 4 ln 
- 
+ C
D. 4 ln 
+ 
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