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Mathematics
Mathematics
Problem
The equation of transverse axis of hyperbola (passing through origin) having asymptotes
3
x
−
4
y
−
1
=
0
3x - 4y - 1 = 0
3
x
−
4
y
−
1
=
0
and
4
x
−
3
y
−
6
=
0
4x - 3y - 6 = 0
4
x
−
3
y
−
6
=
0
is
a
x
+
b
y
−
c
=
0
ax + by - c = 0
a
x
+
b
y
−
c
=
0
,
a
,
b
,
c
∈
N
a, b, c \in \mathbb{N}
a
,
b
,
c
∈
N
and
g.c.d
(
a
,
b
,
c
)
=
1
\text{g.c.d}(a, b, c) = 1
g.c.d
(
a
,
b
,
c
)
=
1
, then the value of
a
+
b
+
c
a + b + c
a
+
b
+
c
is
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