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If P Q is a double ordinate of the hyper...

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.

A

`(e lt sqrt(3))`

B

`1 gt e gt (2)/(sqrt(3))`

C

`e= (2)/(sqrt(3))`

D

`e lt (2)/(sqrt(3))`

Text Solution

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The correct Answer is:
D
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MOTION-HYPERBOLA-EXERCISE-2 (Level-I)
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  12. The locus of the mid points of the chords passing through a fixed poin...

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