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Mathematics
Problem
The hyperbola
x
2
9
−
y
2
16
=
1
\dfrac{x^{2}}{9}-\dfrac{y^{2}}{16}=1
9
x
2
−
16
y
2
=
1
is given. Which of the following are the equations of its asymptotes? a)
y
=
±
3
4
x
y=\pm\dfrac{3}{4}x
y
=
±
4
3
x
b)
y
=
±
4
3
x
y=\pm\dfrac{4}{3}x
y
=
±
3
4
x
c)
y
=
±
4
9
x
y=\pm\dfrac{4}{9}x
y
=
±
9
4
x
d)
y
=
±
16
9
x
y=\pm\dfrac{16}{9}x
y
=
±
9
16
x
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