If x-2y-a=0 is a chord of the parabola `y^(2)=4ax`, then its langth, is

If t is the parameter for one end of a focal chord of the parabola y^2 =4ax, then its length is :

If (at^(2) , 2at) be the coordinate of an extremity of a focal chord of the parabola y^(2) =4ax, then the length of the chord is-

If x-2y-a = 0 is a chord of y^(2) = 4ax then its length is

If the equation of a chord of the parabola y^(2)=4ax is y=mx+c , then its mid point is

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

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

The locus of the midpoints of all chords of the parabola y^(2) = 4ax through its vertex is another parabola with directrix is

The locus of the midpoints of all chords of the parabola y^(2)=4ax through its vertex is another parabola with directix

If AB is a focal chord of the parabola y^(2)=4ax whose vertex is 0, then(slope of OA ) x (slope of OB)-

Prove that the chord y-xsqrt2+4asqrt2=0 is a normal chord of the parabola y^2=4ax . Also, find the point on the parabola when the given chord is normal to the parabola.