If a chord,which is not a tangent,of the parabola $y^2=16x$ has the equation $2x+y=p$,and midpoint $(h, k)$,then which of the following is(are) possible value$(s)$ of $p, h$ and $k$?

What is the focus of the parabola $4y^2 + 12x - 20y + 67 = 0$?

The length of the latus rectum of the parabola $y^2+8x-2y+17=0$ is

The equation of the tangent to the parabola $y^2 = 4ax$ at the point $(3, 2)$ is . . . .

Three points $O(0,0)$,$P(a, a^2)$,and $Q(-b, b^2)$ with $a > 0$ and $b > 0$ lie on the parabola $y = x^2$. Let $S_1$ be the area of the region bounded by the line $PQ$ and the parabola,and $S_2$ be the area of the triangle $OPQ$. If the minimum value of $\frac{S_1}{S_2}$ is $\frac{m}{n}$,where $\operatorname{gcd}(m, n) = 1$,then $m + n$ is equal to:

An equilateral triangle is inscribed in the parabola $y^2 = 4ax$ such that one of its vertices is at the origin $(0, 0)$ and the other two vertices lie on the parabola. The length of its side is equal to