For what values of a will the point `(8, 4)` be an inside point of the parabola `y^2 =4ax?`

The point (8,4) lies inside the parabola y^(2) = 4ax If _

For what values of 'a' will the tangents drawn to the parabola y^2 = 4ax from a point, not on the y-axis, will be normal to the parabola x^2 = 4y.

For what values of 'a' will the tangents drawn to the parabola y^(2)=4ax from a point,not on the y-axis,will be normal to the parabola x^(2)=4y.

Find the value of alpha for which the point (alpha -1, alpha) lies inside the parabola y^(2) = 4x .

What is the slope of the normal at the point ("at"^(2), "2 at") of the parabola y^(2) = 4ax ?

The locus of the middle points of the focal chord of the parabola y^(2)=4ax , is

The locus of the middle points of normal chords of the parabola y^2 = 4ax is-

The parametric coordinates of any point on the parabola y^(2) = 4ax can be