If the coordinates of the ends of a focal chord of the parabola $x^2=4ay$ are $(x_1, y_1)$ and $(x_2, y_2)$,then

For the parabola $y^2 = 4ax$,what is the $x$-coordinate of the point closest to the focus?

The point on the parabola $y^{2}=64x$ which is nearest to the line $4x+3y+35=0$ has coordinates

Let a conic $C$ pass through the point $(4,-2)$ and $P(x, y), x \geq 3$,be any point on $C$. Let the slope of the line touching the conic $C$ only at a single point $P$ be half the slope of the line joining the points $P$ and $(3,-5)$. If the focal distance of the point $(7,1)$ on $C$ is $d$,then $12d$ equals ...........

Suppose a parabola $y=ax^2+bx+c$ has two $x$-intercepts,one positive and one negative,and its vertex is $(2,-2)$. Then,which of the following is true?

In the parabola $y^2 = 6x$,the equation of the chord passing through the vertex and the negative end of the latus rectum is