If $a \neq 0$ and the line $2bx+3cy+4d=0$ passes through the points of intersection of the parabolas $y^2=4ax$ and $x^2=4ay$, then

Question

( A ) $d^2+(2b-3c)^2=0$
( B ) $d^2+(2b+3c)^2=0$
( C ) $d^2+(3b+2c)^2=0$
( D ) $d^2+(3b-2c)^2=0$