HyperbolaHard
Question
AB is a double ordinate of the hyperbola 
= 1 such that ᐃAOB (where ′O′ is the origin) is an equilateral triangle, then the eccentricity e of the hyperbola satisfies -
= 1 such that ᐃAOB (where ′O′ is the origin) is an equilateral triangle, then the eccentricity e of the hyperbola satisfies -Options
A.e > √3
B.1 < e < 
C.e =
D.e >
Solution
Let l be the length of double ordinate.
Co-ordinate of point A is
so.
= 1⇒
= 1 ⇒ 
⇒
⇒ e2 - 1 > 
⇒ e2 > 
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