SOLUTION: This hyperbola has a transverse axis of length 24 and is centered at the origin. Which of the equations below could be its equation

Algebra ->  Equations -> SOLUTION: This hyperbola has a transverse axis of length 24 and is centered at the origin. Which of the equations below could be its equation      Log On


   

Question 1132549: This hyperbola has a transverse axis of length 24 and is centered at the origin. Which of the equations below could be its equation
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Standard form of equation for hyperbola with horizontal transverse axis:
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, with (h,k) being the (x,y) coordinates of the center.
For given hyperbola:
center: (0,0)
Transverseaxis is 24=>2a=24
=>a=12
a%5E2=12%5E2

%28x-0%29%5E2%2F12%5E2-%28y-0%29%5E2%2Fb%5E2=1
x%5E2%2F12%5E2-y%5E2%2Fb%5E2=1

so, in order to answer the question Which of the equations below could be its
equation, we need to know what those equations are
semiminor axis length b%3C%3E0, could be any other number