A quadrilateral is inscribed in a parabola `y^2=4a x` and three of its sides pass through fixed points on the axis. Show that the fourth side also passes through a fixed point on the axis of the parabola.

A quadrilateral is inscribed in a parabola y^(2)=4ax and three of its sides pass through fixed points on the axis.Show that the fourth side also passes through a fixed point on the axis of the parabola.

The circle passing through the point (-1,0) and touching the y-axis at (0, 2) also passes through the point:

From a variable point on the tangent at the vertex of a parabola y^2=4a x , a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

From a variable point on the tangent at the vertex of a parabola y^2=4a x , a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

From a variable point on the tangent at the vertex of a parabola y^2=4a x , a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

From a variable point on the tangent at the vertex of a parabola y^(2)=4ax, a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

The circle passing through the point ( -1,0) and touching the y-axis at (0,2) also passes through the point.

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

The circle passing through the point (-1,0) and touching the y -axis at (0,2) also passes through the point: