Given:
Center of hyperbola is at (h,k).
To find:
The standard forms of a hyperbola.
Solution:
We know that, standard forms of a hyperbola are
1. For Horizontal hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
2. For Vertical hyperbola:
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center of the hyperbola.
Therefore, the correct option is B.