If the combined equation of the angle bisectors of the pair of lines $x^2 - 2pxy - y^2 = 0$ is $x^2 - 2qxy - y^2 = 0$, then which of the following is true?

If the lines represented by $x^2-2hxy-y^2=0$ are rotated about $(0,0)$ through an angle $\alpha$,one in the clockwise direction and the other in the counter-clockwise direction,then the combined equation of the bisectors of the angle between the lines thus obtained is

If $\alpha$ represents the square of the distance between the origin and the point of intersection of the lines $x^2-y^2-x+3y-2=0$ and $\beta$ represents the product of the perpendicular distances from the origin to the pair of lines,then $\alpha \beta=$

Find the point of intersection of the lines represented by the curve $2x^2 + 3xy + y^2 - 7x - 5y + 6 = 0$.

If $ax^2+2hxy-2ay^2+3x+15y-9=0$ represents a pair of lines intersecting at $(1,1)$,then $ah=$

The joint equation of the bisectors of the angles between the lines $x=5$ and $y=3$ is