# if $2$ hyperbola are conjugates of each other then value of $c$ [duplicate]

If the hyperbola $x^2+3xy+2y^2+2x+3y+2=0$ and $x^2+3xy+2y^2+2x+3y+c=0$ are conjugate of each other . Then $c$ equals

solution i try

Asymptotes of 1 st hyperbola is $x^2+3xy+2y^2+2x+3y+k=0$ and it represent $2$ pair of lines so its discriminant is zero .so i am getting $k=1$ How to solve it from that point