The endpoints of two normal chords of a parabola are concyclic. Then the tangents at the feet of the normals will intersect

Statement 1: If the endpoints of two normal chords A Ba n dC D (normal at Aa n dC) of a parabola y^2=4a x are concyclic, then the tangents at Aa n dC will intersect on the axis of the parabola. Statement 2: If four points on the parabola y^2=4a x are concyclic, then the sum of their ordinates is zero.

Length of the shortest normal chord of the parabola y^2=4ax is

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

Statement 1: The line a x+b y+c=0 is a normal to the parabola y^2=4a xdot Then the equation of the tangent at the foot of this normal is y=(b/a)x+((a^2)/b)dot Statement 2: The equation of normal at any point P(a t^2,2a t) to the parabola y^2 = 4ax is y=-t x+2a t+a t^3

Find the locus of the midpoint of normal chord of parabola y^2=4ax

If the normal chhord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

Prove that the chord y-xsqrt(2)+4asqrt(2)=0 is a normal chord of the parabola y^2=4a x . Also find the point on the parabola when the given chord is normal to the parabola.

Prove that the line joining the orthocentre to the centroid of a triangle formed by the focal chord of a parabola and tangents drawn at its extremities is parallel to the axis of the parabola.

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.