Find the equation of the hyperbolic line through $A=(3,4)$, perpendicular to hyperbolic line $x^2+y^2=25$, $ y>0$

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I don't know how to solve this exercise in Hyperbolic Geometry.

Find the linear equation of hyperbolic line which passes through point $A=(3,4)$ and it is perpendicular to hyperbolic line with linear equation $x^2+y^2=25$ , $ y>0$.