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Mathematics
Mathematics
Problem
Prove that for any external point
P
P
P
, the length of the chord of contact
T
1
T
2
T_{1}T_{2}
T
1
T
2
is given by
L
chord
=
2
r
L
d
L_{\text{chord}} = \frac{2rL}{d}
L
chord
=
d
2
r
L
, where
r
r
r
is the radius,
L
L
L
is the length of the tangent
P
T
1
PT_{1}
P
T
1
, and
d
d
d
is the distance
O
P
OP
O
P
.
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