Let P (3 sec θ, 2 tan θ) and Q (3 sec φ, 2 tan φ) where θ+φ=(π)/2, be two distinct points on the hyperbola x^2/9-y^2/4=1. Then the ordinate of the…

Let $\displaystyle \mathrm{P}(3 \sec \theta, 2 \tan \theta)$ and Q $\displaystyle (3 \sec \phi, 2 \tan \phi)$ where $\displaystyle \theta+\phi=\frac{\pi}{2}$, be two distinct points on the hyperbola $\displaystyle \frac{x^2}{9}-\frac{y^2}{4}=1$. Then the ordinate of the point of intersection of the normals at P and Q is :