If the line y = 3x + 1, touches the parabola ` y^(2) = 4ax` , find the length of the latus rectum ?

Consider the parabola y^2=12x Find the length of the latus rectum.

Of the parabola, 4(y-1)^(2)= -7(x-3) find The length of the latus rectum.

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

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

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: