let t2,t1 points .
eqn of chord: y-2at1=(2/t1+t2)(x-at1^2)
this pases thru -6a,0
so, -2at1 = 2(-6a - at1^2)/t1+t2 ------#1
from that slope thing,,
1 = |2/t1 - 2/t2|/ |t1t2 -4| -----------#2
mod hata do, toh doh relations milega...
solve for t1 and t2...
u will get two chords.