If the line `2x+3y=1` touches the parabola `y^2=4ax` then the length of latus rectum is

If b and c are lengths of the segments of any focal chord of the parabola y^(2)=4ax, then write the length of its latus rectum.

The locus of the mid-point of the focal radii of avariable point moving on the parabola,y^(2)=4ax is C, then the length of latus rectum of C, is

The circle described on the line joining the foci of the hyperbola (x^(2))/(16)-(y^(2))/(9) = 1 as a diameter passes through an end of the latus rectum of the parabola y^(2) = 4ax , the length of the latus rectum of the parabola is

Find the equations of normal to the parabola y^(2)=4ax at the ends of the latus rectum.

If ASC is a focal chord of the parabola y^(2)=4ax and AS=5,SC=9 , then length of latus rectum of the parabola equals

If b and c are the lengths of the segments of any focal chord of a parabola y^(2)=4ax , then length of the semi-latus rectum is: