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For the hyperbola (x^(2))/( cos ^(2) alp...

For the hyperbola `(x^(2))/( cos ^(2) alpha ) -(y^(2))/( sin ^(2) alpha ) =1` Which of the following remains constant when `alpha ` varies ?

A

abscissae of foci

B

eccentricity

C

directrix

D

abscissae of vertices

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The correct Answer is:
A
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
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  6. If the normal at the point t(1) to the rectangle hyperola xy=c^(2) mee...

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  7. The length of the semi treansverse axis of the rectangular hyperbola x...

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  10. If (xi yi) ,i =1,2,3,4 are concylic points on xy= 4 then x1x2x3x4 =

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  11. If (xi yi) ,i = 1,2,3,4 are concyclic points on xy=c^(2) and if y1. ...

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  12. The locus a point P ( alpha , beta) moving under the condition that ...

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  13. The auxiliary circle of the hyperbola xy=9 is:

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  14. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  15. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  16. The point of intersection of the asymptotes with the directrices lie o...

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  17. If a hyperbola passing through the origin has 3x-4y -1=0 and 4x -3y -6...

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  18. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

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  19. If H(x,y) =0 represents the equation of a hyperbola and A( x,y ) =0 ,...

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  20. The equation of a hyperbola conjugate to the hyperbola 2x^(2) +3xy -2y...

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