Question

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis, is

Answer 1

Answer:

Given latus rectum = 12× Conjugate axis

2b2a=12×2b

2b=a

b2=a2(e2−1)

b2=4b2(e2−1)

1/4=e2−1

e2=1+14=5/4

e=√5/2

Hence √5/2 is the correct answer