If $h^2=ab$,then the slopes of the lines represented by $ax^2+2hxy+by^2=0$ are in the ratio

The angle between the lines represented by the equation $\lambda x^2 + (1 - \lambda)^2 xy - \lambda y^2 = 0$ is .....$^o$.

The angle between the pair of straight lines $3y^2 - 8xy - 3x^2 - 29x + 3y - 18 = 0$ is (in $^{\circ}$)

If the angle between the pair of straight lines represented by the equation ${x^2} - 3xy + \lambda {y^2} + 3x - 5y + 2 = 0$ is ${\tan ^{ - 1}}\left( {\frac{1}{3}} \right)$,where $\lambda$ is a non-negative real number,then $\lambda$ is:

The angle between the two straight lines represented by the equation $2x^2 - 5xy + 2y^2 - 3x + 3y + 1 = 0$ is

The angle $\theta$ between the pair of straight lines represented by the homogeneous equation $ax^2 + 2hxy + by^2 = 0$ is given by: