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Mathematics
Mathematics
Problem
A hyperbola centred at the origin has eccentricity
3
2
\dfrac{3}{2}
2
3
and its transverse axis is
8
8
8
units long. Which equation represents this hyperbola? a)
x
2
20
−
y
2
16
=
1
\dfrac{x^{2}}{20}-\dfrac{y^{2}}{16}=1
20
x
2
−
16
y
2
=
1
b)
x
2
16
−
y
2
36
=
1
\dfrac{x^{2}}{16}-\dfrac{y^{2}}{36}=1
16
x
2
−
36
y
2
=
1
c)
x
2
16
−
y
2
20
=
1
\dfrac{x^{2}}{16}-\dfrac{y^{2}}{20}=1
16
x
2
−
20
y
2
=
1
d)
x
2
64
−
y
2
80
=
1
\dfrac{x^{2}}{64}-\dfrac{y^{2}}{80}=1
64
x
2
−
80
y
2
=
1
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