$$\begin{gathered} Ifoneangularbi\sec torofa{\left(x+1\right)}^2+2h\left(x+1\right)\left(y-3\right)+b{\left(y-3\right)}^2=0 \\ is2x-3y+11=0thenequationofotherangularbi\sec toris \end{gathered}$$

$\begin{array}{l}GivenEquationa{\left(x+1\right)}^2+2h\left(x+1\right)\left(y-3\right)+b\left(y-3\right)=0\\ Itpassesthrough\left(1,3\right)\\ oneanglebi\sec toris2x-3y+11=0\\ otheranglebi\sec toris3x+2y+k=0\\ Itpassesthrough\left(-1,3\right)\\ \to -3+6+k=0\\ \Rightarrow k=-3\\ \therefore \mathrm{Re}quiredEquationis3x+2y-3=0\end{array}$