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For the hyperbola (x^2)/(cos^2alpha)-(y^...

For the hyperbola `(x^2)/(cos^2alpha)-(y^2)/(sin^2alpha)=1` , which of the following remains constant when `alpha` varies? (1) eccentricity (2) directrix (3) abscissae of vertices (4) abscissae of foci

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For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 which of the following remains constant with change in alpha

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Knowledge Check

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

    A
    Eccentricity
    B
    Directrix
    C
    Abscissae of vertices
    D
    Abscissae of foci

  • For hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1 which of the following remains constant with change in alpha ?

    A
    abscissae of veritces
    B
    abscisae of foci
    C
    eccentricity
    D
    directrix

  • For the hyperbola (x^(2))/(cos^(2) alpha ) - (y^(2))/(sin^(2) alpha ) = 1 , where alpha is a parameter, which of the following remains constant ?

    A
    abscissa of vertices
    B
    abscissa of foci
    C
    eccentricity
    D
    directrix

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