The equation of transverse axis of hyperbola \( \mathrm{P} \) (pass...

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The equation of transverse axis of hyperbola
\( \mathrm{P} \) (passing through origin) having asymptotes

W \( 3 x-4 y-1=0 \) and \( 4 x-3 y-6=0 \) is \( a x+b y-c=0 \), \( a, b, c \in N \) and g.c. \( d(a, b, c)=1 \), then the value of \( a+b+c \) is
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