Given ,
the locus of the point of trisection of all the double ordinate of the parabola y2=Lx
also given, to find out the Latus spection for the given parabola.
as we know that
y2=4ax is the parabola equation.
Let us now equate it with given equation
4ax=Lx
⇒4a=L
A(at2,2at)
∴ we get h=at2⇔3k=2at
by squating on betweens we get
9k2=4a2t2⇔9k2=4.a2.ha[∵h=at2t=h/a
⇒ 9k2=4ah⇔k2=49a.h
∵ y2=L.x=4a9.x⇔y2=L9 Option [A]