The focus of the conic $x^{2}-6x+4y+1=0$ is

The coordinates of the focus of the parabola $(x+3)^2 = 2(y-5)$ are

The equation of the axis of the parabola $x^2 - 4x - 3y + 10 = 0$ is:

If the equation of a system of parallel chords of the parabola $y^2 = \frac{25x}{7}$ is $4x - y + \lambda = 0$,then the equation of the corresponding diameter is . . . . . .

For the parabola $y^2+6y-2x=-5$,consider the following statements:
$I$. The vertex is $(-2, -3)$.
$II$. The directrix is $y+3=0$.
Which of the following is correct?

The focal distance of a point on the parabola $y^{2}=16x$ whose ordinate is twice the abscissa,is