`y=x sqrt(2)-8sqrt(2)` is a normal chord to the parabola `y^(2)=8x` . If length of normal chord is `k` then `(k)/(4sqrt(3))` is equal to

The line sqrt(2y)-2x+8a=0 is a normal to the parabola y^(2)=4ax at P ,then P=

The line sqrt(2)y-2x+8a=0 is a normal to the parabola y^(2)=4ax at P .then P =

Length of the shortest normal chord of the parabola y^(2)=4ax 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.

If x+y=k is a normal to the parabola y^(2)=36x , then k is equal to

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

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.

The number of normals to the parabola y^(2)=8x through (2,1) is

The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax then a=