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If the latus rectum of a hyperbola forms...

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the centre of the hyperbola, then find the eccentricity of the hyperbola.

A

`(sqrt(5)+1)/(2)`

B

`(sqrt(11)+1)/(2)`

C

`(sqrt(13)+1)/(2sqrt(3))`

D

`(sqrt(13)-1)/(2sqrt(3))`

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
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  3. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

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  4. If the tangent at the point (2sec theta,3tan theta) to the hyperbola (...

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  5. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1, is

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  8. The equation of the hyperbola of given transverse axis 2a with its ver...

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  9. Find the locus of the midpoints of the chords of the circles x^(2)+y^(...

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  10. If the latus rectum subtends a right angle at the center of the hyp...

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  11. If the latursrectum of a hyperbola through one foucs subtends 60^(@) a...

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  12. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  13. Let L L ' be the latus rectum through the focus of the hyperbola (x^2)...

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  14. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

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  15. Number of integral values of b for which tangent parallel to line y=x+...

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  18. The locus of the centre of a circle which touches two given circles ex...

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  19. If tangents OQ and OR are dawn to variable circles having radius r and...

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  20. about to only mathematics

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