1.
PP is a point on the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1, NN is the foot of the perpendicular from PP on the transverse axis. The tangent to the hyperbola at PP meets the transverse axis at TT. If OO is the centre of the hyperbola, then OT⋅ONOT \cdot ON is equal to