From a variable point P on the tagent at the vertex of the parabola `y^(2)=2x`, a line is drawn perpendicular to the chord of contact. These variable lines always pass through a fixed point, whose x - coordinate is

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.

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.

If from a variable point 'P' on the line 2x-y-1=0 pair of tangent's are drawn to the parabola x^(2)=8y then prove that chord of contact passes through a fixed point,also find that point.

Tangents are drawn to the ellipse x^(2)+2y^(2)=4 from any arbitrary point on the line x+y=4, the corresponding chord of contact will always pass through a fixed point, whose coordinates are

The locus of the foot of perpendicular drawn from origin to a variable line passing through fixed points (2,3) is a circle whose diameter is?

The locus of the foot of perpendicular drawn from origin to a variable line passing through fixed points (2,3) is a circle whose diameter is?

Find the locus of the foot of the perpendicular from the orign to a variable straighht line which always passes through the fixed point (a,b) .