If the line passing through the focus `S` of the parabola `y=a x^2+b x+c` meets the parabola at `Pa n dQ` and if `S P=4` and `S Q=6` , then find the value of `adot`

If the line passing through the focus S of the parabola y=ax^(2)+bx+c meets the parabola at P and Q and if SP=4 and SQ=6, then find the value of a.

The line passing through the focus S of the parabola y=ax^(2)+bx+c meets the parabola at P and Q such that SP=4 and SQ=6 .Then length of the latusrectum is

If a straight line passing through the focus of the parabola x ^(2) =4ay intersects the parabola at the points (x_(1) , y_(1)) and (x_(2), y_(2)) then the value of x_(1)x_(2) is-

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then

If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola again in Q then Q=

If the normal to the parabola y^(2)=4 x at P(1,2) meets' the parabola again at Q , then Q is

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are