\( P \) is a point on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1, N \) is the fo...

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\( P \) is a point on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1, N \) is the foot of the perpendicular from \( P \) on the transverse axis. The tangent to the hyperbola at \( P \) meets the transverse axis at T. If \( O \) is the centre of the hyperbola, then \( O T \). \( O N \) is equal to
(A) \( e^{2} \)
(B) \( a^{2} \)
(C) \( b^{2} \)
(D) \( b^{2} / a^{2} \)
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