The equation of the tangent to the parabola $y^2=12x$ at the point $(3,-6)$ is:

The axis of the parabola $x^{2}+2 x y+y^{2}-5 x+5 y-5=0$ is

The equation of the tangent to the parabola $y = x^2 - x$ at the point where $x = 1$ is:

If the double ordinate of the parabola $y^2 = 8x$ is of length $16$,then the angle subtended by it at the vertex of the parabola is

If $(0, 4)$ and $(0, 2)$ are the vertex and focus of a parabola respectively,then what is its equation?

If the focal chord drawn through the point $(1,2)$ to the parabola $y^2=8x$ meets this parabola in $(x_1, y_1)$ and $(x_2, y_2)$,then $x_1+x_2=$