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Problem
Problem
Let
C
C
C
be incircle of
△
A
B
C
\triangle ABC
△
A
B
C
. If the tangents of lengths
t
1
,
t
2
t_1, t_2
t
1
,
t
2
and
t
3
t_3
t
3
are drawn inside the given triangle parallel to sides
a
,
b
a, b
a
,
b
and
c
c
c
, respectively, then
t
1
a
+
t
2
b
+
t
3
c
\frac{t_1}{a} + \frac{t_2}{b} + \frac{t_3}{c}
a
t
1
+
b
t
2
+
c
t
3
is equal to a. 0 b. 1 c. 2 d. 3
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