Eccentricity of the hyperbola `3x^2-8xy-3y^2-2=0`

The eccentricity of the hyperbola 2x^(2)+3xy-2y^(2)+5=0 is

The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal to that of the ellipse x^2+4y^2=4. if the hyperbola passes through a focus of the ellipse then: (a) the equation of the hyperbola is x^2/3-y^2/2=1 (b) a focus of the hyperbola is (2,0) (c) the eccentricity of the hyperbola is sqrt(5/3) (d) the equation of the hyperbola is x^2-3y^2=3

Eccentricity of the hyperbola x^(2) - y^(2) = a^(2) is :