Q. The eccentricity of the hyperbola whose asymptotes are $3x + 4y = 2$ and $4x - 3y + 5 = 0$, is
A) 1
B) 2
C) $\sqrt{2}$
D) None of these
Explanation
(c)
Since, asymptotes $3x + 4y = 2$ and $4x - 3y + 5 = 0$ are perpendicular to each other.
Hence, hyperbola is rectangular hyperbola but we know that the eccentricity of rectangular hyperbola is $\sqrt{2}.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.