The equation of transverse axis of hyperbola (passing through origin) having…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The equation of transverse axis of hyperbola (passing through origin) having asymptotes

3x - 4y - 1 = 0

and

4x - 3y - 6 = 0

ax + by - c = 0

a, b, c \in \mathbb{N}

and

\text{g.c.d}(a, b, c) = 1

, then the value of

a + b + c