If `P Q`
is a double ordinate of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1`
such that `O P Q`
is an equilateral triangle, `O`
being the center of the hyperbola, then find the range of the eccentricity
`e`
of the hyperbola.
Text Solution
AI Generated Solution
To solve the problem step by step, we need to analyze the given hyperbola and the conditions of the triangle formed by the points O, P, and Q.
### Step 1: Understand the Hyperbola
The equation of the hyperbola is given by:
\[
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
\]
...
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