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

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

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

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

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 area of the parabola y^2=4ax and its latus rectum.