The slopes of the normals to the parabola `y^2=4ax` intersecting at a point on the axis of the a distance 4a from its vertex are in

Find the lengths of the normals drawn to the parabola y^(2)=8ax from a point on the axis of the parabola at distance 8a from the focus

The normals to the parabola y^(2)=4ax from the point (5a,2a) is/are

Equation of normal to the parabola y^(2)=4ax having slope m is

The normal to parabola y^(2) =4ax from the point (5a, -2a) are

Show that the length of the tangent to the parabola y^2 = 4ax intercepted between its point of contact and the axis of the parabola is bisected by the tangent at the vertex.

If the parabola y^(2) = 4ax passes through the point (4, 1), then the distance of its focus the vertex of the parabola is

The locus of point of intersection of the two tangents to the parabola y^(2)=4ax which intercept a given distance 4c on the tangent at the vertex is

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