The eccentricity of the hyperbola whose asymptotes are 3x+4y=10 and 4x−3y=5 is
A
√3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
√2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
√5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
√6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B√2 If θ is angle between asymptotes, then θ=tan−1ba ⇒tanθ2=ba ⇒tanπ4=ba (∵ given lines are perpendicular ) ∴a=b ⇒e=√2 which is a rectangular hyperbola.