Find the equation of equiaxed hyperbola passing through point a (3, - 1) and the axis of symmetry is coordinate axis______ .

Find the equation of equiaxed hyperbola passing through point a (3, - 1) and the axis of symmetry is coordinate axis______ .

Suppose that the equation of equiaxed hyperbola is x2-y2 = λ≠ 0. Substituting point a (3, - 1), we can get: 9-1 = λ, and the solution is λ = 8. The required equation of equiaxed hyperbola is x2-y2 = 8. So the answer is x2-y2 = 8