What is the equation of hyperbola if all axes (transverse axis, conjugate axis, principal axis) are along the coordinate axis (x and y axis), and passing through the point $(-3,4)$ and $(5,6)$.
I tried substituting the points by the standard equation and find $a^2$ and $b^2$
Equation 1 $(x+3)^2/a^2 - (y-4)^2/b^2 =1$
Equation 2 $(x-5)^2/a^2 - (y-6)^2/b^2 =1$
I just couldn't get $a^2$ and $b^2$