A geometry problem by swapnil rajawat

Geometry Level pending

p is a point on the hyperbola x^2/a^2 -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 a center of the hyperbola then OT.ON is equal to

a^2 b^2 e^2 b^2/a^2

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