Home
Class 11
MATHS
From a variable point on the tangent at ...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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

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=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=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 squadrilateral 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.

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

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.

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is