Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If PQ is a double ordinate of the hyperbola 
such that OPQ is an equilateral triangle, O being the centre of the hyperbola. Then the eccentricity e of the hyperbola
satisfies
A
1 < e < 
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
PQ is the doubled ordinate. Let 
given that
s an equilateral then OP = OQ = PQ
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
∴ ∴ 
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
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