If incident from point `(-1,2)` parallel to the axis of the parabola `y^2=4x` strike the parabola, then find the equation of the reflected ray.

If incident ray from point (-2,4) parallel to the axis of the parabola y^(2)=4x strikes the parabola, then find the equation of the reflected ray.

The axis of the parabola y^2 = x is the line

The axis of the parabola x^(2)=-4y is ……. .

The axis of the parabola x^(2)=20y is ........

The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the equation of the directrix.

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

A P is perpendicular to P B , where A is the vertex of the parabola y^2=4x and P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of P A Bdot

The locus of the middle points of the focal chords of the parabola, y^2=4x is: