The equation of the common tangent to the curves $${y^2} = 8x$$ and $$xy = - 1$$ is

The equation of the directrix of the parabola $${y^2} + 4y + 4x + 2 = 0$$

The equation of the common tangent touching the circle $${\left( {x - 3} \right)^2} + {y^2} = 9$$ and the parabola $${y^2} = 4x$$ above the $$x$$-axis is

If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is