The equation of a hyperbola conjugate to the hyperbola `x^(2)+3xy+2y^(2)+2x+3y=0` is

The equation of a hyperbola,conjugate to the hyperbola 2x^(2)+3xy-2y^(2)+3x+y+2=0 is 2x^(2)+3xy-2y^(2)+3x+y+k=0 then k=

If the eccentricity of the hyperbola conjugate to the hyperbola (x^2)/(4)-(y^2)/(12)=1 is e, then 3e^2 is equal to:

The combined equation of the asymptotes of the hyperbola 2x^(2)+5xy+2y^(2)+4x+5y=0 is -

Ecceptricity of the hyperbola conjugate to the hyperbola (x^(2))/(4)-(y^(2))/(12)=1 is

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

The equations of the asymptotes of the hyperbola 2x^(2)+5xy+2y^(2)-11x-7y-4=0 are

The combined equation of asymptotes to the hyperbola x^2 + 4xy + 3y^2 +4x-3y +1=0 are

The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and perpendicular to the line 3x -2y = 4 is

The equation of th directrices of the hyperbola 3x^(2)-3y^(2)-18x+12y+2=0 is

The focal length of the hyperbola x^(2)-3y^(2)-4x-6y-11=0, is