Is a point on the hyperbola

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

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

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