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If the normal at an end of latus rectum of the hyperbola `x^(2)/a^(2) - y^(2)/b^(2) = 1` passes through the point `(0, 2b)` then

A

eccentricity of the hyperbola is `(1 + sqrt 2)/2`

B

eccentricity of the hyperbola is `sqrt2`

C

square of the eccentricity is 2 times the ratio of transverse and conjugate axis

D

ratio of transverse and conjugate axis is unity

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The correct Answer is:
B, C, D
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - II
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  5. If two tangents can be drawn to the differentanches of hyperbola x^2/1...

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  7. If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a poi...

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  8. If the tangents at the point (a sec alpha, b tan alpha) to the hyperbo...

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  9. If the normal at an end of latus rectum of the hyperbola x^(2)/a^(2) -...

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  10. If the normals at three points A, B, C on the rectangular hyperbola xy...

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  12. Points A(a) and B (b) are on xy = 1 , Circles with OA and OB as diamet...

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  13. In a rectangular hyperbola x^(2) - y^(2) = 4, a line is drawn through...

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  14. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  15. If t be any non-zero number , then the locus of extremities of the fam...

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  16. If (5, 12)" and " (24,7) are the focii of a hyperbola passing through...

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  17. Let e be the eccentricity of a hyperbola and f(e ) be the eccentricity...

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  19. If pair of tangents are drawn from any point (p) on the circle x^(2) +...

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