A hyperbola whose asymptotes are $x+2y+3=0$ and $3x+4y+5=0$ , is passing through the point (1,-1) . Then we have to find the equation of the conjugate hyperbola .
I thought about it alot .. but could not get any start .
can anybody provide me a hint .
hint...The hyperbola you want is $(x+2y+3)(3x+4y+5)=k$ For a suitable choice of $k$