Question

In a hyperbola e=2 and the length of semitransverse axis is 3 and the length of conjugate axis is

• A. $3\sqrt{3}$
• B. $6\sqrt{3}$
• C. $6\sqrt{2}$
• D. $3\sqrt{2}$

Answer 1

The correct option is B

$6\sqrt{3}$

e=2 a=3 b=?

$b^2=a^2(e^2-1)=9(4-1)=9\times 3=27$

$b=3\sqrt{3}$

$2b=6\sqrt{3}$

b=

2b=6