The circles on focal radii of a parabola as diameter touch

The circles on the focal radii of a parabola as diameter touch: A) the tangent at the vertex B) the axis C) the directrix D) latus rectum

Circles are described on any focal chords of a parabola as diameters touches its directrix

Prove that the circle described on the focal chord of parabola as a diameter touches the directrix

A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diameter touches the axis of the parabola. Then the slope of the chord is

Circle described on the focal chord as diameter touches

Statement 1: In the parabola y^2=4a x , the circle drawn the taking the focal radii as diameter touches the y-axis. Statement 2: The portion of the tangent intercepted between the point of contact and directrix subtends an angle of 90^0 at focus.

A circle drawn on any focal chord of the parabola y^(2)=4ax as diameter cuts the parabola at two points 't' and 't' (other than the extremity of focal chord), then find the value of tt'.

The locus of the mid-point of the line segment joining a point on the parabola Y^(2)=4ax and the point of contact of circle drawn on focal distance of the point as diameter with the tangent at the vertex, is

Let A and B be two distinct points on the parabola y^2=4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then find the slope of the line joining A and B .

A circle drawn on any focal AB of the parabola y^(2)=4ax as diameter cute the parabola again at C and D. If the parameters of the points A, B, C, D be t_(1), t_(2), t_(3)" and "t_(4) respectively, then the value of t_(3),t_(4) , is