On hyperbola It is known that the eccentricity of hyperbola C is equal to 2, and it has the same focus as ellipse x ^ 2 / 24 + y ^ 2 / 8 = 1 (1) The equation of hyperbola C (2) The real axis length and asymptote equation of hyperbola C

That is C & # 178; = 24-8 = 16
c=4
e=c/a=2
a=2
b²=c²-a²=12
So x & # 178 / 4-y & # 178 / 12 = 1
The real axis is 2A = 4
b/a==2√3/2=√3
So the asymptote is y = ± √ 3x

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