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Given the family of hyperbolas `x^(2)/(cos^(2)alpha)-y^(2)/sin^(2)alpha=1" for "alphain(0,pi//2)` which of the following does not change with varying `alpha`?

A

abscissa of foci

B

eccentricity

C

equations of directrices

D

abscissa of vertices

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A
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MOTION-HYPERBOLA-EXERCISE-1 (SECTION - A)
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  11. The equation of the common tangent to the parabola y^(2) = 8x and the ...

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  12. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  13. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

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  14. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

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  15. The equation of chord of the hyperbola 25x^2- 16y^2 =400 which is bise...

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  16. The ellipse 4x^(2) + 9y^(2) = 36 and the hyperbola 4x^(2) – y^(2) = 4 ...

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  17. The asymptotes of the hyperbola xy–3x–2y=0 are

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