Find the angle made by a double ordinate of length `8a` at the vertex of the parabola `y^2=4a xdot`

Find the angle made by a double ordinate of length 2a at the vertex of the parabola y^(2)=ax .

For the parabola y^(2)=4px find the extremities of a double ordinate of length 8p. Prove that the lines from the vertex to its extremities are at right angles.

Find the length of the line segment joining the vertex of the parabola y^(2)=4ax and a point on the parabola where the line segment make and angle theta to the x-axis.

Find the length of the line segment joining the vertex of the parabola y^2=4ax and a point on the parabola, where the line segment makes an angle theta to the x-axis.

Find the length of the normal chord which subtends an angle of 90^(@) at the vertex of the parabola y^(2)=4x