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Mathematics
Mathematics
Problem
P
P
P
is a point on the hyperbola
x
2
a
2
−
y
2
b
2
=
1
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
a
2
x
2
−
b
2
y
2
=
1
,
N
N
N
is the foot of the perpendicular from
P
P
P
on the transverse axis. The tangent to the hyperbola at
P
P
P
meets the transverse axis at
T
T
T
. If
O
O
O
is the centre of the hyperbola, then
O
T
⋅
O
N
OT \cdot ON
O
T
⋅
O
N
is equal to
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