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Mathematics
Problem
Consider the vertical hyperbola
y
2
36
−
x
2
16
=
1
\dfrac{y^{2}}{36}-\dfrac{x^{2}}{16}=1
36
y
2
−
16
x
2
=
1
. Which pair of lines represents its asymptotes? a)
y
=
±
2
3
x
y=\pm\dfrac{2}{3}x
y
=
±
3
2
x
b)
y
=
±
3
2
x
y=\pm\dfrac{3}{2}x
y
=
±
2
3
x
c)
x
=
±
3
2
y
x=\pm\dfrac{3}{2}y
x
=
±
2
3
y
d)
y
=
±
13
2
x
y=\pm\dfrac{\sqrt{13}}{2}x
y
=
±
2
13
x
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