Tangents are drawn  from  the Point (-2, -1) to the hyperbola 2x²-3y²=6. Their equations are

The locus  of the  midpoint its of chords of the hyperbola x²/a²-y²/b²=1 which pass through the positive end of the transverse axis is

The locus  of the  midpoint its of chords of x²/a²-y²/b²=1 which pass through the focus (ae, 0) is

The point of contact of 5x+6y+1=0 to the hyperbola 2x²-3y² =2 is