Answer: B) The lengths of both transverse axes are the same.
Step-by-step explanation: Given Hyperbola equations :
[tex]\frac{x^2}{3^2}-\frac{y^2}{4^2}=1[/tex] and
[tex]\frac{y^2}{3^2}-\frac{x^2}{4^2}=1[/tex]
First one : [tex]\frac{x^2}{3^2}-\frac{y^2}{4^2}=1[/tex] is a Horizontal Hyperbola.
a = 3 and 2a = 6.
Length of transverse axis = 6.
And second one : [tex]\frac{y^2}{3^2}-\frac{x^2}{4^2}=1[/tex] is a Vertical Hyperbola.
b=3 and 2b = 6
Length of transverse axis = 6.
The lengths of both transverse axes are the same.
Therefore, correct option is B option :
