Angles made by the lines represented by the equation $xy + y = 0$ with the $y$-axis are

The joint equation of a pair of lines passing through the point $(1, 4)$, where one line is parallel to the $X$-axis and the other makes an angle of $45^\circ$ with the positive direction of the $X$-axis, is:

If one of the lines of the pair $ax^{2}+2hxy+by^{2}=0$ bisects the angle between the positive direction of the axes,then $a, b,$ and $h$ satisfy the relation:

If the slope of one of the lines represented by $ax^2 + 2hxy + by^2 = 0$ is the square of the other,then:

If the pair of lines $3x^2 - 5xy + py^2 = 0$ and $6x^2 - xy - 5y^2 = 0$ have one line in common,then $p =$

If one of the lines represented by $ax^2+2hxy+by^2=0$ bisects the angle between the positive coordinate axes,then